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Finding the Fourth Proportional to 126,259.84, 189,340.54 and 47,331

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Solution

The fourth proportional to 126,259.84, 189,340.54 and 47,331 is: 70,978.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,259.84 : 189,340.54 = 47,331 : x
  2. Step 2: Convert to fraction form
    126,259.84/189,340.54 = 47,331/x
  3. Step 3: Cross multiply
    126,259.84x = 189,340.54 × 47,331
  4. Step 4: Simplify right side
    126,259.84x = 8,961,677,098.74
  5. Step 5: Solve for x
    x = 8,961,677,098.74/126,259.84
  6. Step 6: Final answer
    x = 70,978.05

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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.