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Finding the Fourth Proportional to 142,102.98, 196,102.13 and 78,440.78

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Solution

The fourth proportional to 142,102.98, 196,102.13 and 78,440.78 is: 108,248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,102.98 : 196,102.13 = 78,440.78 : x
  2. Step 2: Convert to fraction form
    142,102.98/196,102.13 = 78,440.78/x
  3. Step 3: Cross multiply
    142,102.98x = 196,102.13 × 78,440.78
  4. Step 4: Simplify right side
    142,102.98x = 15,382,404,134.91
  5. Step 5: Solve for x
    x = 15,382,404,134.91/142,102.98
  6. Step 6: Final answer
    x = 108,248.29

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1.5x scale

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.