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Finding the Fourth Proportional to 194,565.80, 291,686.70 and 82,332.20

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Solution

The fourth proportional to 194,565.80, 291,686.70 and 82,332.20 is: 123,429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,565.80 : 291,686.70 = 82,332.20 : x
  2. Step 2: Convert to fraction form
    194,565.80/291,686.70 = 82,332.20/x
  3. Step 3: Cross multiply
    194,565.80x = 291,686.70 × 82,332.20
  4. Step 4: Simplify right side
    194,565.80x = 24,015,207,721.74
  5. Step 5: Solve for x
    x = 24,015,207,721.74/194,565.80
  6. Step 6: Final answer
    x = 123,429.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.