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Finding the Fourth Proportional to 102,486.38, 153,699.80 and 39,301.88

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Solution

The fourth proportional to 102,486.38, 153,699.80 and 39,301.88 is: 58,941.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,486.38 : 153,699.80 = 39,301.88 : x
  2. Step 2: Convert to fraction form
    102,486.38/153,699.80 = 39,301.88/x
  3. Step 3: Cross multiply
    102,486.38x = 153,699.80 × 39,301.88
  4. Step 4: Simplify right side
    102,486.38x = 6,040,690,130.62
  5. Step 5: Solve for x
    x = 6,040,690,130.62/102,486.38
  6. Step 6: Final answer
    x = 58,941.40

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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.