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Finding the Fourth Proportional to 99,925.86, 137,897.70 and 55,213.86

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Solution

The fourth proportional to 99,925.86, 137,897.70 and 55,213.86 is: 76,195.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,925.86 : 137,897.70 = 55,213.86 : x
  2. Step 2: Convert to fraction form
    99,925.86/137,897.70 = 55,213.86/x
  3. Step 3: Cross multiply
    99,925.86x = 137,897.70 × 55,213.86
  4. Step 4: Simplify right side
    99,925.86x = 7,613,864,302.12
  5. Step 5: Solve for x
    x = 7,613,864,302.12/99,925.86
  6. Step 6: Final answer
    x = 76,195.13

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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.