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Finding the Fourth Proportional to 123,428.60, 185,034.90 and 83,857.40

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Solution

The fourth proportional to 123,428.60, 185,034.90 and 83,857.40 is: 125,712.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,428.60 : 185,034.90 = 83,857.40 : x
  2. Step 2: Convert to fraction form
    123,428.60/185,034.90 = 83,857.40/x
  3. Step 3: Cross multiply
    123,428.60x = 185,034.90 × 83,857.40
  4. Step 4: Simplify right side
    123,428.60x = 15,516,545,623.26
  5. Step 5: Solve for x
    x = 15,516,545,623.26/123,428.60
  6. Step 6: Final answer
    x = 125,712.72

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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.