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Finding the Fourth Proportional to 52,503.56, 78,726.24 and 20,911.16

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Solution

The fourth proportional to 52,503.56, 78,726.24 and 20,911.16 is: 31,355.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,503.56 : 78,726.24 = 20,911.16 : x
  2. Step 2: Convert to fraction form
    52,503.56/78,726.24 = 20,911.16/x
  3. Step 3: Cross multiply
    52,503.56x = 78,726.24 × 20,911.16
  4. Step 4: Simplify right side
    52,503.56x = 1,646,257,000.84
  5. Step 5: Solve for x
    x = 1,646,257,000.84/52,503.56
  6. Step 6: Final answer
    x = 31,355.15

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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.