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Finding the Fourth Proportional to 115,719.48, 159,693.12 and 65,418.48

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Solution

The fourth proportional to 115,719.48, 159,693.12 and 65,418.48 is: 90,277.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,719.48 : 159,693.12 = 65,418.48 : x
  2. Step 2: Convert to fraction form
    115,719.48/159,693.12 = 65,418.48/x
  3. Step 3: Cross multiply
    115,719.48x = 159,693.12 × 65,418.48
  4. Step 4: Simplify right side
    115,719.48x = 10,446,881,176.86
  5. Step 5: Solve for x
    x = 10,446,881,176.86/115,719.48
  6. Step 6: Final answer
    x = 90,277.64

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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.