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Finding the Fourth Proportional to 115,894.88, 159,937.20 and 75,634.40

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Solution

The fourth proportional to 115,894.88, 159,937.20 and 75,634.40 is: 104,376.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,894.88 : 159,937.20 = 75,634.40 : x
  2. Step 2: Convert to fraction form
    115,894.88/159,937.20 = 75,634.40/x
  3. Step 3: Cross multiply
    115,894.88x = 159,937.20 × 75,634.40
  4. Step 4: Simplify right side
    115,894.88x = 12,096,754,159.68
  5. Step 5: Solve for x
    x = 12,096,754,159.68/115,894.88
  6. Step 6: Final answer
    x = 104,376.95

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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.