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Finding the Fourth Proportional to 52,700.78, 79,051.17 and 21,536

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Solution

The fourth proportional to 52,700.78, 79,051.17 and 21,536 is: 32,304

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,700.78 : 79,051.17 = 21,536 : x
  2. Step 2: Convert to fraction form
    52,700.78/79,051.17 = 21,536/x
  3. Step 3: Cross multiply
    52,700.78x = 79,051.17 × 21,536
  4. Step 4: Simplify right side
    52,700.78x = 1,702,445,997.12
  5. Step 5: Solve for x
    x = 1,702,445,997.12/52,700.78
  6. Step 6: Final answer
    x = 32,304

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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.