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Finding the Fourth Proportional to 140,757.60, 194,246.48 and 77,098.08

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Solution

The fourth proportional to 140,757.60, 194,246.48 and 77,098.08 is: 106,395.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,757.60 : 194,246.48 = 77,098.08 : x
  2. Step 2: Convert to fraction form
    140,757.60/194,246.48 = 77,098.08/x
  3. Step 3: Cross multiply
    140,757.60x = 194,246.48 × 77,098.08
  4. Step 4: Simplify right side
    140,757.60x = 14,976,030,654.76
  5. Step 5: Solve for x
    x = 14,976,030,654.76/140,757.60
  6. Step 6: Final answer
    x = 106,395.89

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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.