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Finding the Fourth Proportional to 261,804.40, 392,706.60 and 137,129.20

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Solution

The fourth proportional to 261,804.40, 392,706.60 and 137,129.20 is: 205,693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,804.40 : 392,706.60 = 137,129.20 : x
  2. Step 2: Convert to fraction form
    261,804.40/392,706.60 = 137,129.20/x
  3. Step 3: Cross multiply
    261,804.40x = 392,706.60 × 137,129.20
  4. Step 4: Simplify right side
    261,804.40x = 53,851,541,892.72
  5. Step 5: Solve for x
    x = 53,851,541,892.72/261,804.40
  6. Step 6: Final answer
    x = 205,693.80

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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.