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Finding the Fourth Proportional to 126,341.68, 189,531.24 and 42,074.32

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Solution

The fourth proportional to 126,341.68, 189,531.24 and 42,074.32 is: 63,117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,341.68 : 189,531.24 = 42,074.32 : x
  2. Step 2: Convert to fraction form
    126,341.68/189,531.24 = 42,074.32/x
  3. Step 3: Cross multiply
    126,341.68x = 189,531.24 × 42,074.32
  4. Step 4: Simplify right side
    126,341.68x = 7,974,398,041.76
  5. Step 5: Solve for x
    x = 7,974,398,041.76/126,341.68
  6. Step 6: Final answer
    x = 63,117.71

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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.