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Finding the Fourth Proportional to 138,743.70, 208,092.10 and 38,880.93

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Solution

The fourth proportional to 138,743.70, 208,092.10 and 38,880.93 is: 58,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,743.70 : 208,092.10 = 38,880.93 : x
  2. Step 2: Convert to fraction form
    138,743.70/208,092.10 = 38,880.93/x
  3. Step 3: Cross multiply
    138,743.70x = 208,092.10 × 38,880.93
  4. Step 4: Simplify right side
    138,743.70x = 8,090,814,276.45
  5. Step 5: Solve for x
    x = 8,090,814,276.45/138,743.70
  6. Step 6: Final answer
    x = 58,314.82

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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.