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Finding the Fourth Proportional to 71,158.48, 98,202.50 and 40,948.40

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Solution

The fourth proportional to 71,158.48, 98,202.50 and 40,948.40 is: 56,510.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,158.48 : 98,202.50 = 40,948.40 : x
  2. Step 2: Convert to fraction form
    71,158.48/98,202.50 = 40,948.40/x
  3. Step 3: Cross multiply
    71,158.48x = 98,202.50 × 40,948.40
  4. Step 4: Simplify right side
    71,158.48x = 4,021,235,251
  5. Step 5: Solve for x
    x = 4,021,235,251/71,158.48
  6. Step 6: Final answer
    x = 56,510.98

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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.