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Finding the Fourth Proportional to 92,042, 137,887.10 and 77,144.48

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Solution

The fourth proportional to 92,042, 137,887.10 and 77,144.48 is: 115,569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,042 : 137,887.10 = 77,144.48 : x
  2. Step 2: Convert to fraction form
    92,042/137,887.10 = 77,144.48/x
  3. Step 3: Cross multiply
    92,042x = 137,887.10 × 77,144.48
  4. Step 4: Simplify right side
    92,042x = 10,637,228,628.21
  5. Step 5: Solve for x
    x = 10,637,228,628.21/92,042
  6. Step 6: Final answer
    x = 115,569.29

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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.