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Finding the Fourth Proportional to 77,371.76, 115,902.12 and 40,358

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Solution

The fourth proportional to 77,371.76, 115,902.12 and 40,358 is: 60,455.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,371.76 : 115,902.12 = 40,358 : x
  2. Step 2: Convert to fraction form
    77,371.76/115,902.12 = 40,358/x
  3. Step 3: Cross multiply
    77,371.76x = 115,902.12 × 40,358
  4. Step 4: Simplify right side
    77,371.76x = 4,677,577,758.96
  5. Step 5: Solve for x
    x = 4,677,577,758.96/77,371.76
  6. Step 6: Final answer
    x = 60,455.88

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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.