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Finding the Fourth Proportional to 102,707.78, 153,963.24 and 43,461.95

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Solution

The fourth proportional to 102,707.78, 153,963.24 and 43,461.95 is: 65,151.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,707.78 : 153,963.24 = 43,461.95 : x
  2. Step 2: Convert to fraction form
    102,707.78/153,963.24 = 43,461.95/x
  3. Step 3: Cross multiply
    102,707.78x = 153,963.24 × 43,461.95
  4. Step 4: Simplify right side
    102,707.78x = 6,691,541,868.90
  5. Step 5: Solve for x
    x = 6,691,541,868.90/102,707.78
  6. Step 6: Final answer
    x = 65,151.27

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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.