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Finding the Fourth Proportional to 115,647.48, 159,593.76 and 65,346.48

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Solution

The fourth proportional to 115,647.48, 159,593.76 and 65,346.48 is: 90,178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,647.48 : 159,593.76 = 65,346.48 : x
  2. Step 2: Convert to fraction form
    115,647.48/159,593.76 = 65,346.48/x
  3. Step 3: Cross multiply
    115,647.48x = 159,593.76 × 65,346.48
  4. Step 4: Simplify right side
    115,647.48x = 10,428,890,445.96
  5. Step 5: Solve for x
    x = 10,428,890,445.96/115,647.48
  6. Step 6: Final answer
    x = 90,178.28

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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.