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Finding the Fourth Proportional to 78,140.50, 117,353.75 and 71,552.84

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Solution

The fourth proportional to 78,140.50, 117,353.75 and 71,552.84 is: 107,460.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,140.50 : 117,353.75 = 71,552.84 : x
  2. Step 2: Convert to fraction form
    78,140.50/117,353.75 = 71,552.84/x
  3. Step 3: Cross multiply
    78,140.50x = 117,353.75 × 71,552.84
  4. Step 4: Simplify right side
    78,140.50x = 8,396,993,152.62
  5. Step 5: Solve for x
    x = 8,396,993,152.62/78,140.50
  6. Step 6: Final answer
    x = 107,460.20

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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.