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Finding the Fourth Proportional to 67,130.89, 100,696.35 and 31,963.93

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Solution

The fourth proportional to 67,130.89, 100,696.35 and 31,963.93 is: 47,945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,130.89 : 100,696.35 = 31,963.93 : x
  2. Step 2: Convert to fraction form
    67,130.89/100,696.35 = 31,963.93/x
  3. Step 3: Cross multiply
    67,130.89x = 100,696.35 × 31,963.93
  4. Step 4: Simplify right side
    67,130.89x = 3,218,651,337.40
  5. Step 5: Solve for x
    x = 3,218,651,337.40/67,130.89
  6. Step 6: Final answer
    x = 47,945.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.