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Finding the Fourth Proportional to 205,431.50, 283,332.34 and 124,857.50

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Solution

The fourth proportional to 205,431.50, 283,332.34 and 124,857.50 is: 172,204.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,431.50 : 283,332.34 = 124,857.50 : x
  2. Step 2: Convert to fraction form
    205,431.50/283,332.34 = 124,857.50/x
  3. Step 3: Cross multiply
    205,431.50x = 283,332.34 × 124,857.50
  4. Step 4: Simplify right side
    205,431.50x = 35,376,167,641.55
  5. Step 5: Solve for x
    x = 35,376,167,641.55/205,431.50
  6. Step 6: Final answer
    x = 172,204.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.