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Finding the Fourth Proportional to 218,877, 328,358.70 and 69,140.40

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Solution

The fourth proportional to 218,877, 328,358.70 and 69,140.40 is: 103,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,877 : 328,358.70 = 69,140.40 : x
  2. Step 2: Convert to fraction form
    218,877/328,358.70 = 69,140.40/x
  3. Step 3: Cross multiply
    218,877x = 328,358.70 × 69,140.40
  4. Step 4: Simplify right side
    218,877x = 22,702,851,861.48
  5. Step 5: Solve for x
    x = 22,702,851,861.48/218,877
  6. Step 6: Final answer
    x = 103,724.25

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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.