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Finding the Fourth Proportional to 99,042.74, 136,677.75 and 53,720

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Solution

The fourth proportional to 99,042.74, 136,677.75 and 53,720 is: 74,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,042.74 : 136,677.75 = 53,720 : x
  2. Step 2: Convert to fraction form
    99,042.74/136,677.75 = 53,720/x
  3. Step 3: Cross multiply
    99,042.74x = 136,677.75 × 53,720
  4. Step 4: Simplify right side
    99,042.74x = 7,342,328,730
  5. Step 5: Solve for x
    x = 7,342,328,730/99,042.74
  6. Step 6: Final answer
    x = 74,132.93

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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.