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Finding the Fourth Proportional to 138,614.88, 191,288.67 and 74,952.66

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Solution

The fourth proportional to 138,614.88, 191,288.67 and 74,952.66 is: 103,434.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,614.88 : 191,288.67 = 74,952.66 : x
  2. Step 2: Convert to fraction form
    138,614.88/191,288.67 = 74,952.66/x
  3. Step 3: Cross multiply
    138,614.88x = 191,288.67 × 74,952.66
  4. Step 4: Simplify right side
    138,614.88x = 14,337,594,644.36
  5. Step 5: Solve for x
    x = 14,337,594,644.36/138,614.88
  6. Step 6: Final answer
    x = 103,434.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.