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Finding the Fourth Proportional to 142,169.76, 213,248.12 and 35,554.86

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Solution

The fourth proportional to 142,169.76, 213,248.12 and 35,554.86 is: 53,330.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,169.76 : 213,248.12 = 35,554.86 : x
  2. Step 2: Convert to fraction form
    142,169.76/213,248.12 = 35,554.86/x
  3. Step 3: Cross multiply
    142,169.76x = 213,248.12 × 35,554.86
  4. Step 4: Simplify right side
    142,169.76x = 7,582,006,874.09
  5. Step 5: Solve for x
    x = 7,582,006,874.09/142,169.76
  6. Step 6: Final answer
    x = 53,330.66

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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.