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Finding the Fourth Proportional to 138,182.41, 206,941.45 and 78,838.16

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Solution

The fourth proportional to 138,182.41, 206,941.45 and 78,838.16 is: 118,067.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,182.41 : 206,941.45 = 78,838.16 : x
  2. Step 2: Convert to fraction form
    138,182.41/206,941.45 = 78,838.16/x
  3. Step 3: Cross multiply
    138,182.41x = 206,941.45 × 78,838.16
  4. Step 4: Simplify right side
    138,182.41x = 16,314,883,225.80
  5. Step 5: Solve for x
    x = 16,314,883,225.80/138,182.41
  6. Step 6: Final answer
    x = 118,067.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.