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Finding the Fourth Proportional to 218,721.80, 328,082.70 and 78,462.20

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Solution

The fourth proportional to 218,721.80, 328,082.70 and 78,462.20 is: 117,693.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,721.80 : 328,082.70 = 78,462.20 : x
  2. Step 2: Convert to fraction form
    218,721.80/328,082.70 = 78,462.20/x
  3. Step 3: Cross multiply
    218,721.80x = 328,082.70 × 78,462.20
  4. Step 4: Simplify right side
    218,721.80x = 25,742,090,423.94
  5. Step 5: Solve for x
    x = 25,742,090,423.94/218,721.80
  6. Step 6: Final answer
    x = 117,693.30

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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.