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Finding the Fourth Proportional to 140,695.30, 194,151.80 and 77,020.78

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Solution

The fourth proportional to 140,695.30, 194,151.80 and 77,020.78 is: 106,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,695.30 : 194,151.80 = 77,020.78 : x
  2. Step 2: Convert to fraction form
    140,695.30/194,151.80 = 77,020.78/x
  3. Step 3: Cross multiply
    140,695.30x = 194,151.80 × 77,020.78
  4. Step 4: Simplify right side
    140,695.30x = 14,953,723,074.40
  5. Step 5: Solve for x
    x = 14,953,723,074.40/140,695.30
  6. Step 6: Final answer
    x = 106,284.45

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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.