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Finding the Fourth Proportional to 71,311.12, 98,410.36 and 39,480

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Solution

The fourth proportional to 71,311.12, 98,410.36 and 39,480 is: 54,482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,311.12 : 98,410.36 = 39,480 : x
  2. Step 2: Convert to fraction form
    71,311.12/98,410.36 = 39,480/x
  3. Step 3: Cross multiply
    71,311.12x = 98,410.36 × 39,480
  4. Step 4: Simplify right side
    71,311.12x = 3,885,241,012.80
  5. Step 5: Solve for x
    x = 3,885,241,012.80/71,311.12
  6. Step 6: Final answer
    x = 54,482.96

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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.