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Finding the Fourth Proportional to 78,412.40, 108,207.24 and 42,601.60

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Solution

The fourth proportional to 78,412.40, 108,207.24 and 42,601.60 is: 58,789.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,412.40 : 108,207.24 = 42,601.60 : x
  2. Step 2: Convert to fraction form
    78,412.40/108,207.24 = 42,601.60/x
  3. Step 3: Cross multiply
    78,412.40x = 108,207.24 × 42,601.60
  4. Step 4: Simplify right side
    78,412.40x = 4,609,801,555.58
  5. Step 5: Solve for x
    x = 4,609,801,555.58/78,412.40
  6. Step 6: Final answer
    x = 58,789.19

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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.