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Finding the Fourth Proportional to 77,672.75, 116,258.51 and 40,181.20

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Solution

The fourth proportional to 77,672.75, 116,258.51 and 40,181.20 is: 60,142.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,672.75 : 116,258.51 = 40,181.20 : x
  2. Step 2: Convert to fraction form
    77,672.75/116,258.51 = 40,181.20/x
  3. Step 3: Cross multiply
    77,672.75x = 116,258.51 × 40,181.20
  4. Step 4: Simplify right side
    77,672.75x = 4,671,406,251.82
  5. Step 5: Solve for x
    x = 4,671,406,251.82/77,672.75
  6. Step 6: Final answer
    x = 60,142.15

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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.