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Finding the Fourth Proportional to 260,087.40, 390,033.90 and 102,283.20

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Solution

The fourth proportional to 260,087.40, 390,033.90 and 102,283.20 is: 153,386.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,087.40 : 390,033.90 = 102,283.20 : x
  2. Step 2: Convert to fraction form
    260,087.40/390,033.90 = 102,283.20/x
  3. Step 3: Cross multiply
    260,087.40x = 390,033.90 × 102,283.20
  4. Step 4: Simplify right side
    260,087.40x = 39,893,915,400.48
  5. Step 5: Solve for x
    x = 39,893,915,400.48/260,087.40
  6. Step 6: Final answer
    x = 153,386.57

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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.