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Finding the Fourth Proportional to 140,789.92, 194,290.32 and 77,126.32

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Solution

The fourth proportional to 140,789.92, 194,290.32 and 77,126.32 is: 106,434.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,789.92 : 194,290.32 = 77,126.32 : x
  2. Step 2: Convert to fraction form
    140,789.92/194,290.32 = 77,126.32/x
  3. Step 3: Cross multiply
    140,789.92x = 194,290.32 × 77,126.32
  4. Step 4: Simplify right side
    140,789.92x = 14,984,897,393.22
  5. Step 5: Solve for x
    x = 14,984,897,393.22/140,789.92
  6. Step 6: Final answer
    x = 106,434.45

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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.