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Finding the Fourth Proportional to 126,357.67, 189,473.12 and 42,088.21

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Solution

The fourth proportional to 126,357.67, 189,473.12 and 42,088.21 is: 63,111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,357.67 : 189,473.12 = 42,088.21 : x
  2. Step 2: Convert to fraction form
    126,357.67/189,473.12 = 42,088.21/x
  3. Step 3: Cross multiply
    126,357.67x = 189,473.12 × 42,088.21
  4. Step 4: Simplify right side
    126,357.67x = 7,974,584,463.92
  5. Step 5: Solve for x
    x = 7,974,584,463.92/126,357.67
  6. Step 6: Final answer
    x = 63,111.20

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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.