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Finding the Fourth Proportional to 65,407.40, 97,892.40 and 45,724.40

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Solution

The fourth proportional to 65,407.40, 97,892.40 and 45,724.40 is: 68,433.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,407.40 : 97,892.40 = 45,724.40 : x
  2. Step 2: Convert to fraction form
    65,407.40/97,892.40 = 45,724.40/x
  3. Step 3: Cross multiply
    65,407.40x = 97,892.40 × 45,724.40
  4. Step 4: Simplify right side
    65,407.40x = 4,476,071,254.56
  5. Step 5: Solve for x
    x = 4,476,071,254.56/65,407.40
  6. Step 6: Final answer
    x = 68,433.71

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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.