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Finding the Fourth Proportional to 52,702.68, 78,882.15 and 28,650.80

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Solution

The fourth proportional to 52,702.68, 78,882.15 and 28,650.80 is: 42,882.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,702.68 : 78,882.15 = 28,650.80 : x
  2. Step 2: Convert to fraction form
    52,702.68/78,882.15 = 28,650.80/x
  3. Step 3: Cross multiply
    52,702.68x = 78,882.15 × 28,650.80
  4. Step 4: Simplify right side
    52,702.68x = 2,260,036,703.22
  5. Step 5: Solve for x
    x = 2,260,036,703.22/52,702.68
  6. Step 6: Final answer
    x = 42,882.77

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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.