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Finding the Fourth Proportional to 138,846.81, 191,608.70 and 75,184.66

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Solution

The fourth proportional to 138,846.81, 191,608.70 and 75,184.66 is: 103,754.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,846.81 : 191,608.70 = 75,184.66 : x
  2. Step 2: Convert to fraction form
    138,846.81/191,608.70 = 75,184.66/x
  3. Step 3: Cross multiply
    138,846.81x = 191,608.70 × 75,184.66
  4. Step 4: Simplify right side
    138,846.81x = 14,406,034,962.54
  5. Step 5: Solve for x
    x = 14,406,034,962.54/138,846.81
  6. Step 6: Final answer
    x = 103,754.89

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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.