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Finding the Fourth Proportional to 52,505.59, 78,726.70 and 20,920.52

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Solution

The fourth proportional to 52,505.59, 78,726.70 and 20,920.52 is: 31,368.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,505.59 : 78,726.70 = 20,920.52 : x
  2. Step 2: Convert to fraction form
    52,505.59/78,726.70 = 20,920.52/x
  3. Step 3: Cross multiply
    52,505.59x = 78,726.70 × 20,920.52
  4. Step 4: Simplify right side
    52,505.59x = 1,647,003,501.88
  5. Step 5: Solve for x
    x = 1,647,003,501.88/52,505.59
  6. Step 6: Final answer
    x = 31,368.16

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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.