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Finding the Fourth Proportional to 71,000.48, 97,980.20 and 38,736.88

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Solution

The fourth proportional to 71,000.48, 97,980.20 and 38,736.88 is: 53,456.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,000.48 : 97,980.20 = 38,736.88 : x
  2. Step 2: Convert to fraction form
    71,000.48/97,980.20 = 38,736.88/x
  3. Step 3: Cross multiply
    71,000.48x = 97,980.20 × 38,736.88
  4. Step 4: Simplify right side
    71,000.48x = 3,795,447,249.78
  5. Step 5: Solve for x
    x = 3,795,447,249.78/71,000.48
  6. Step 6: Final answer
    x = 53,456.64

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1.5x scale

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.