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Finding the Fourth Proportional to 71,566.30, 107,317.05 and 27,178.30

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Solution

The fourth proportional to 71,566.30, 107,317.05 and 27,178.30 is: 40,755.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,566.30 : 107,317.05 = 27,178.30 : x
  2. Step 2: Convert to fraction form
    71,566.30/107,317.05 = 27,178.30/x
  3. Step 3: Cross multiply
    71,566.30x = 107,317.05 × 27,178.30
  4. Step 4: Simplify right side
    71,566.30x = 2,916,694,980.02
  5. Step 5: Solve for x
    x = 2,916,694,980.02/71,566.30
  6. Step 6: Final answer
    x = 40,755.15

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1.5x scale

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.