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Finding the Fourth Proportional to 138,638.86, 191,320.79 and 74,976.50

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Solution

The fourth proportional to 138,638.86, 191,320.79 and 74,976.50 is: 103,467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,638.86 : 191,320.79 = 74,976.50 : x
  2. Step 2: Convert to fraction form
    138,638.86/191,320.79 = 74,976.50/x
  3. Step 3: Cross multiply
    138,638.86x = 191,320.79 × 74,976.50
  4. Step 4: Simplify right side
    138,638.86x = 14,344,563,314.85
  5. Step 5: Solve for x
    x = 14,344,563,314.85/138,638.86
  6. Step 6: Final answer
    x = 103,467.12

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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.