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Finding the Fourth Proportional to 97,372.68, 145,945.20 and 86,301

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Solution

The fourth proportional to 97,372.68, 145,945.20 and 86,301 is: 129,350.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,372.68 : 145,945.20 = 86,301 : x
  2. Step 2: Convert to fraction form
    97,372.68/145,945.20 = 86,301/x
  3. Step 3: Cross multiply
    97,372.68x = 145,945.20 × 86,301
  4. Step 4: Simplify right side
    97,372.68x = 12,595,216,705.20
  5. Step 5: Solve for x
    x = 12,595,216,705.20/97,372.68
  6. Step 6: Final answer
    x = 129,350.62

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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.