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Finding the Fourth Proportional to 140,133.98, 193,389 and 76,475.88

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Solution

The fourth proportional to 140,133.98, 193,389 and 76,475.88 is: 105,538.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,133.98 : 193,389 = 76,475.88 : x
  2. Step 2: Convert to fraction form
    140,133.98/193,389 = 76,475.88/x
  3. Step 3: Cross multiply
    140,133.98x = 193,389 × 76,475.88
  4. Step 4: Simplify right side
    140,133.98x = 14,789,593,957.32
  5. Step 5: Solve for x
    x = 14,789,593,957.32/140,133.98
  6. Step 6: Final answer
    x = 105,538.96

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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.