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Finding the Fourth Proportional to 138,649.80, 191,360.25 and 78,237.57

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Solution

The fourth proportional to 138,649.80, 191,360.25 and 78,237.57 is: 107,981.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,649.80 : 191,360.25 = 78,237.57 : x
  2. Step 2: Convert to fraction form
    138,649.80/191,360.25 = 78,237.57/x
  3. Step 3: Cross multiply
    138,649.80x = 191,360.25 × 78,237.57
  4. Step 4: Simplify right side
    138,649.80x = 14,971,560,954.59
  5. Step 5: Solve for x
    x = 14,971,560,954.59/138,649.80
  6. Step 6: Final answer
    x = 107,981.12

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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.