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Finding the Fourth Proportional to 52,261, 72,120.18 and 28,709

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Solution

The fourth proportional to 52,261, 72,120.18 and 28,709 is: 39,618.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,261 : 72,120.18 = 28,709 : x
  2. Step 2: Convert to fraction form
    52,261/72,120.18 = 28,709/x
  3. Step 3: Cross multiply
    52,261x = 72,120.18 × 28,709
  4. Step 4: Simplify right side
    52,261x = 2,070,498,247.62
  5. Step 5: Solve for x
    x = 2,070,498,247.62/52,261
  6. Step 6: Final answer
    x = 39,618.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.