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Finding the Fourth Proportional to 102,892, 142,009.14 and 60,450.52

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Solution

The fourth proportional to 102,892, 142,009.14 and 60,450.52 is: 83,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,892 : 142,009.14 = 60,450.52 : x
  2. Step 2: Convert to fraction form
    102,892/142,009.14 = 60,450.52/x
  3. Step 3: Cross multiply
    102,892x = 142,009.14 × 60,450.52
  4. Step 4: Simplify right side
    102,892x = 8,584,526,357.75
  5. Step 5: Solve for x
    x = 8,584,526,357.75/102,892
  6. Step 6: Final answer
    x = 83,432.40

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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.