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Finding the Fourth Proportional to 140,782, 194,280 and 77,120.32

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Solution

The fourth proportional to 140,782, 194,280 and 77,120.32 is: 106,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,782 : 194,280 = 77,120.32 : x
  2. Step 2: Convert to fraction form
    140,782/194,280 = 77,120.32/x
  3. Step 3: Cross multiply
    140,782x = 194,280 × 77,120.32
  4. Step 4: Simplify right side
    140,782x = 14,982,935,769.60
  5. Step 5: Solve for x
    x = 14,982,935,769.60/140,782
  6. Step 6: Final answer
    x = 106,426.50

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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.