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Finding the Fourth Proportional to 78,152.73, 117,041.79 and 40,101.87

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Solution

The fourth proportional to 78,152.73, 117,041.79 and 40,101.87 is: 60,056.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,152.73 : 117,041.79 = 40,101.87 : x
  2. Step 2: Convert to fraction form
    78,152.73/117,041.79 = 40,101.87/x
  3. Step 3: Cross multiply
    78,152.73x = 117,041.79 × 40,101.87
  4. Step 4: Simplify right side
    78,152.73x = 4,693,594,647.15
  5. Step 5: Solve for x
    x = 4,693,594,647.15/78,152.73
  6. Step 6: Final answer
    x = 60,056.69

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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.