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Finding the Fourth Proportional to 146,784,866.40, 220,347,302.40 and 78,760,418.40

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Solution

The fourth proportional to 146,784,866.40, 220,347,302.40 and 78,760,418.40 is: 118,231,846.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,784,866.40 : 220,347,302.40 = 78,760,418.40 : x
  2. Step 2: Convert to fraction form
    146,784,866.40/220,347,302.40 = 78,760,418.40/x
  3. Step 3: Cross multiply
    146,784,866.40x = 220,347,302.40 × 78,760,418.40
  4. Step 4: Simplify right side
    146,784,866.40x = 17,354,645,730,335,326
  5. Step 5: Solve for x
    x = 17,354,645,730,335,326/146,784,866.40
  6. Step 6: Final answer
    x = 118,231,846.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.