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Finding the Fourth Proportional to 52,354.80, 78,497.64 and 21,158.64

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Solution

The fourth proportional to 52,354.80, 78,497.64 and 21,158.64 is: 31,723.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,354.80 : 78,497.64 = 21,158.64 : x
  2. Step 2: Convert to fraction form
    52,354.80/78,497.64 = 21,158.64/x
  3. Step 3: Cross multiply
    52,354.80x = 78,497.64 × 21,158.64
  4. Step 4: Simplify right side
    52,354.80x = 1,660,903,305.61
  5. Step 5: Solve for x
    x = 1,660,903,305.61/52,354.80
  6. Step 6: Final answer
    x = 31,723.99

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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.