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Finding the Fourth Proportional to 74,746, 111,778.13 and 55,784.02

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Solution

The fourth proportional to 74,746, 111,778.13 and 55,784.02 is: 83,421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,746 : 111,778.13 = 55,784.02 : x
  2. Step 2: Convert to fraction form
    74,746/111,778.13 = 55,784.02/x
  3. Step 3: Cross multiply
    74,746x = 111,778.13 × 55,784.02
  4. Step 4: Simplify right side
    74,746x = 6,235,433,160.56
  5. Step 5: Solve for x
    x = 6,235,433,160.56/74,746
  6. Step 6: Final answer
    x = 83,421.63

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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.