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Finding the Fourth Proportional to 77,383.76, 115,920.12 and 40,370

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Solution

The fourth proportional to 77,383.76, 115,920.12 and 40,370 is: 60,473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,383.76 : 115,920.12 = 40,370 : x
  2. Step 2: Convert to fraction form
    77,383.76/115,920.12 = 40,370/x
  3. Step 3: Cross multiply
    77,383.76x = 115,920.12 × 40,370
  4. Step 4: Simplify right side
    77,383.76x = 4,679,695,244.40
  5. Step 5: Solve for x
    x = 4,679,695,244.40/77,383.76
  6. Step 6: Final answer
    x = 60,473.87

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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.