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Finding the Fourth Proportional to 138,218.64, 190,747.87 and 77,793.20

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Solution

The fourth proportional to 138,218.64, 190,747.87 and 77,793.20 is: 107,358.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,218.64 : 190,747.87 = 77,793.20 : x
  2. Step 2: Convert to fraction form
    138,218.64/190,747.87 = 77,793.20/x
  3. Step 3: Cross multiply
    138,218.64x = 190,747.87 × 77,793.20
  4. Step 4: Simplify right side
    138,218.64x = 14,838,887,522.84
  5. Step 5: Solve for x
    x = 14,838,887,522.84/138,218.64
  6. Step 6: Final answer
    x = 107,358.07

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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.