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Finding the Fourth Proportional to 80,678.40, 121,041.90 and 57,350.40

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Solution

The fourth proportional to 80,678.40, 121,041.90 and 57,350.40 is: 86,042.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,678.40 : 121,041.90 = 57,350.40 : x
  2. Step 2: Convert to fraction form
    80,678.40/121,041.90 = 57,350.40/x
  3. Step 3: Cross multiply
    80,678.40x = 121,041.90 × 57,350.40
  4. Step 4: Simplify right side
    80,678.40x = 6,941,801,381.76
  5. Step 5: Solve for x
    x = 6,941,801,381.76/80,678.40
  6. Step 6: Final answer
    x = 86,042.87

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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.