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Finding the Fourth Proportional to 78,478.40, 117,615.20 and 36,353.60

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Solution

The fourth proportional to 78,478.40, 117,615.20 and 36,353.60 is: 54,482.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,478.40 : 117,615.20 = 36,353.60 : x
  2. Step 2: Convert to fraction form
    78,478.40/117,615.20 = 36,353.60/x
  3. Step 3: Cross multiply
    78,478.40x = 117,615.20 × 36,353.60
  4. Step 4: Simplify right side
    78,478.40x = 4,275,735,934.72
  5. Step 5: Solve for x
    x = 4,275,735,934.72/78,478.40
  6. Step 6: Final answer
    x = 54,482.97

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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.