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Finding the Fourth Proportional to 142,000.98, 195,962.04 and 78,338.76

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Solution

The fourth proportional to 142,000.98, 195,962.04 and 78,338.76 is: 108,107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,000.98 : 195,962.04 = 78,338.76 : x
  2. Step 2: Convert to fraction form
    142,000.98/195,962.04 = 78,338.76/x
  3. Step 3: Cross multiply
    142,000.98x = 195,962.04 × 78,338.76
  4. Step 4: Simplify right side
    142,000.98x = 15,351,423,220.67
  5. Step 5: Solve for x
    x = 15,351,423,220.67/142,000.98
  6. Step 6: Final answer
    x = 108,107.87

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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.