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Finding the Fourth Proportional to 78,357.90, 108,180.05 and 47,742.54

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Solution

The fourth proportional to 78,357.90, 108,180.05 and 47,742.54 is: 65,912.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,357.90 : 108,180.05 = 47,742.54 : x
  2. Step 2: Convert to fraction form
    78,357.90/108,180.05 = 47,742.54/x
  3. Step 3: Cross multiply
    78,357.90x = 108,180.05 × 47,742.54
  4. Step 4: Simplify right side
    78,357.90x = 5,164,790,125.61
  5. Step 5: Solve for x
    x = 5,164,790,125.61/78,357.90
  6. Step 6: Final answer
    x = 65,912.82

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1.5x scale

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.