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Finding the Fourth Proportional to 115,834, 159,851.08 and 65,531.92

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Solution

The fourth proportional to 115,834, 159,851.08 and 65,531.92 is: 90,434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,834 : 159,851.08 = 65,531.92 : x
  2. Step 2: Convert to fraction form
    115,834/159,851.08 = 65,531.92/x
  3. Step 3: Cross multiply
    115,834x = 159,851.08 × 65,531.92
  4. Step 4: Simplify right side
    115,834x = 10,475,348,186.47
  5. Step 5: Solve for x
    x = 10,475,348,186.47/115,834
  6. Step 6: Final answer
    x = 90,434.14

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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.