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Finding the Fourth Proportional to 98,732.72, 148,101.90 and 38,758.70

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Solution

The fourth proportional to 98,732.72, 148,101.90 and 38,758.70 is: 58,139.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,732.72 : 148,101.90 = 38,758.70 : x
  2. Step 2: Convert to fraction form
    98,732.72/148,101.90 = 38,758.70/x
  3. Step 3: Cross multiply
    98,732.72x = 148,101.90 × 38,758.70
  4. Step 4: Simplify right side
    98,732.72x = 5,740,237,111.53
  5. Step 5: Solve for x
    x = 5,740,237,111.53/98,732.72
  6. Step 6: Final answer
    x = 58,139.16

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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.