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Finding the Fourth Proportional to 52,654.62, 72,665.19 and 28,782.30

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Solution

The fourth proportional to 52,654.62, 72,665.19 and 28,782.30 is: 39,720.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,654.62 : 72,665.19 = 28,782.30 : x
  2. Step 2: Convert to fraction form
    52,654.62/72,665.19 = 28,782.30/x
  3. Step 3: Cross multiply
    52,654.62x = 72,665.19 × 28,782.30
  4. Step 4: Simplify right side
    52,654.62x = 2,091,471,298.14
  5. Step 5: Solve for x
    x = 2,091,471,298.14/52,654.62
  6. Step 6: Final answer
    x = 39,720.57

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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.