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Finding the Fourth Proportional to 65,398.32, 90,246.96 and 38,541.96

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Solution

The fourth proportional to 65,398.32, 90,246.96 and 38,541.96 is: 53,186.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,398.32 : 90,246.96 = 38,541.96 : x
  2. Step 2: Convert to fraction form
    65,398.32/90,246.96 = 38,541.96/x
  3. Step 3: Cross multiply
    65,398.32x = 90,246.96 × 38,541.96
  4. Step 4: Simplify right side
    65,398.32x = 3,478,294,722.44
  5. Step 5: Solve for x
    x = 3,478,294,722.44/65,398.32
  6. Step 6: Final answer
    x = 53,186.30

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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.