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Finding the Fourth Proportional to 71,530.20, 107,352 and 37,820.16

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Solution

The fourth proportional to 71,530.20, 107,352 and 37,820.16 is: 56,760.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,530.20 : 107,352 = 37,820.16 : x
  2. Step 2: Convert to fraction form
    71,530.20/107,352 = 37,820.16/x
  3. Step 3: Cross multiply
    71,530.20x = 107,352 × 37,820.16
  4. Step 4: Simplify right side
    71,530.20x = 4,060,069,816.32
  5. Step 5: Solve for x
    x = 4,060,069,816.32/71,530.20
  6. Step 6: Final answer
    x = 56,760.22

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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.