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Finding the Fourth Proportional to 138,786, 191,524.71 and 75,124.32

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Solution

The fourth proportional to 138,786, 191,524.71 and 75,124.32 is: 103,671.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,786 : 191,524.71 = 75,124.32 : x
  2. Step 2: Convert to fraction form
    138,786/191,524.71 = 75,124.32/x
  3. Step 3: Cross multiply
    138,786x = 191,524.71 × 75,124.32
  4. Step 4: Simplify right side
    138,786x = 14,388,163,601.95
  5. Step 5: Solve for x
    x = 14,388,163,601.95/138,786
  6. Step 6: Final answer
    x = 103,671.58

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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.