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Finding the Fourth Proportional to 101,948.78, 140,640.49 and 71,750.86

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Solution

The fourth proportional to 101,948.78, 140,640.49 and 71,750.86 is: 98,981.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,948.78 : 140,640.49 = 71,750.86 : x
  2. Step 2: Convert to fraction form
    101,948.78/140,640.49 = 71,750.86/x
  3. Step 3: Cross multiply
    101,948.78x = 140,640.49 × 71,750.86
  4. Step 4: Simplify right side
    101,948.78x = 10,091,076,108.32
  5. Step 5: Solve for x
    x = 10,091,076,108.32/101,948.78
  6. Step 6: Final answer
    x = 98,981.82

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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.