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Finding the Fourth Proportional to 78,269.54, 108,009.05 and 42,458.78

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Solution

The fourth proportional to 78,269.54, 108,009.05 and 42,458.78 is: 58,591.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,269.54 : 108,009.05 = 42,458.78 : x
  2. Step 2: Convert to fraction form
    78,269.54/108,009.05 = 42,458.78/x
  3. Step 3: Cross multiply
    78,269.54x = 108,009.05 × 42,458.78
  4. Step 4: Simplify right side
    78,269.54x = 4,585,932,549.69
  5. Step 5: Solve for x
    x = 4,585,932,549.69/78,269.54
  6. Step 6: Final answer
    x = 58,591.54

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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.