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Finding the Fourth Proportional to 52,468.40, 78,712.20 and 21,306.80

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Solution

The fourth proportional to 52,468.40, 78,712.20 and 21,306.80 is: 31,964.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,468.40 : 78,712.20 = 21,306.80 : x
  2. Step 2: Convert to fraction form
    52,468.40/78,712.20 = 21,306.80/x
  3. Step 3: Cross multiply
    52,468.40x = 78,712.20 × 21,306.80
  4. Step 4: Simplify right side
    52,468.40x = 1,677,105,102.96
  5. Step 5: Solve for x
    x = 1,677,105,102.96/52,468.40
  6. Step 6: Final answer
    x = 31,964.10

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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.