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Finding the Fourth Proportional to 99,782.92, 137,701.70 and 58,948.38

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Solution

The fourth proportional to 99,782.92, 137,701.70 and 58,948.38 is: 81,349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,782.92 : 137,701.70 = 58,948.38 : x
  2. Step 2: Convert to fraction form
    99,782.92/137,701.70 = 58,948.38/x
  3. Step 3: Cross multiply
    99,782.92x = 137,701.70 × 58,948.38
  4. Step 4: Simplify right side
    99,782.92x = 8,117,292,138.25
  5. Step 5: Solve for x
    x = 8,117,292,138.25/99,782.92
  6. Step 6: Final answer
    x = 81,349.51

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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.