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Finding the Fourth Proportional to 126,497.79, 189,306.54 and 78,443.94

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Solution

The fourth proportional to 126,497.79, 189,306.54 and 78,443.94 is: 117,392.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,497.79 : 189,306.54 = 78,443.94 : x
  2. Step 2: Convert to fraction form
    126,497.79/189,306.54 = 78,443.94/x
  3. Step 3: Cross multiply
    126,497.79x = 189,306.54 × 78,443.94
  4. Step 4: Simplify right side
    126,497.79x = 14,849,950,865.37
  5. Step 5: Solve for x
    x = 14,849,950,865.37/126,497.79
  6. Step 6: Final answer
    x = 117,392.97

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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.