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Finding the Fourth Proportional to 205,187.40, 307,737.90 and 86,862.60

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Solution

The fourth proportional to 205,187.40, 307,737.90 and 86,862.60 is: 130,275.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,187.40 : 307,737.90 = 86,862.60 : x
  2. Step 2: Convert to fraction form
    205,187.40/307,737.90 = 86,862.60/x
  3. Step 3: Cross multiply
    205,187.40x = 307,737.90 × 86,862.60
  4. Step 4: Simplify right side
    205,187.40x = 26,730,914,112.54
  5. Step 5: Solve for x
    x = 26,730,914,112.54/205,187.40
  6. Step 6: Final answer
    x = 130,275.61

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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.