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Finding the Fourth Proportional to 138,671.80, 191,367.06 and 75,009.52

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Solution

The fourth proportional to 138,671.80, 191,367.06 and 75,009.52 is: 103,513.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,671.80 : 191,367.06 = 75,009.52 : x
  2. Step 2: Convert to fraction form
    138,671.80/191,367.06 = 75,009.52/x
  3. Step 3: Cross multiply
    138,671.80x = 191,367.06 × 75,009.52
  4. Step 4: Simplify right side
    138,671.80x = 14,354,351,314.41
  5. Step 5: Solve for x
    x = 14,354,351,314.41/138,671.80
  6. Step 6: Final answer
    x = 103,513.12

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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.