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Finding the Fourth Proportional to 126,494.79, 189,302.04 and 78,440.94

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Solution

The fourth proportional to 126,494.79, 189,302.04 and 78,440.94 is: 117,388.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,494.79 : 189,302.04 = 78,440.94 : x
  2. Step 2: Convert to fraction form
    126,494.79/189,302.04 = 78,440.94/x
  3. Step 3: Cross multiply
    126,494.79x = 189,302.04 × 78,440.94
  4. Step 4: Simplify right side
    126,494.79x = 14,849,029,961.52
  5. Step 5: Solve for x
    x = 14,849,029,961.52/126,494.79
  6. Step 6: Final answer
    x = 117,388.47

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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.