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Finding the Fourth Proportional to 126,151.76, 189,210.36 and 73,586

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Solution

The fourth proportional to 126,151.76, 189,210.36 and 73,586 is: 110,368.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,151.76 : 189,210.36 = 73,586 : x
  2. Step 2: Convert to fraction form
    126,151.76/189,210.36 = 73,586/x
  3. Step 3: Cross multiply
    126,151.76x = 189,210.36 × 73,586
  4. Step 4: Simplify right side
    126,151.76x = 13,923,233,550.96
  5. Step 5: Solve for x
    x = 13,923,233,550.96/126,151.76
  6. Step 6: Final answer
    x = 110,368.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.