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Finding the Fourth Proportional to 142,103.53, 196,102.41 and 78,440.86

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Solution

The fourth proportional to 142,103.53, 196,102.41 and 78,440.86 is: 108,248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,103.53 : 196,102.41 = 78,440.86 : x
  2. Step 2: Convert to fraction form
    142,103.53/196,102.41 = 78,440.86/x
  3. Step 3: Cross multiply
    142,103.53x = 196,102.41 × 78,440.86
  4. Step 4: Simplify right side
    142,103.53x = 15,382,440,707.96
  5. Step 5: Solve for x
    x = 15,382,440,707.96/142,103.53
  6. Step 6: Final answer
    x = 108,248.13

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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.