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Finding the Fourth Proportional to 65,742.48, 90,645.24 and 45,616.56

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Solution

The fourth proportional to 65,742.48, 90,645.24 and 45,616.56 is: 62,895.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,742.48 : 90,645.24 = 45,616.56 : x
  2. Step 2: Convert to fraction form
    65,742.48/90,645.24 = 45,616.56/x
  3. Step 3: Cross multiply
    65,742.48x = 90,645.24 × 45,616.56
  4. Step 4: Simplify right side
    65,742.48x = 4,134,924,029.17
  5. Step 5: Solve for x
    x = 4,134,924,029.17/65,742.48
  6. Step 6: Final answer
    x = 62,895.77

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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.