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Finding the Fourth Proportional to 76,363.84, 114,422.64 and 41,320

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Solution

The fourth proportional to 76,363.84, 114,422.64 and 41,320 is: 61,913.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,363.84 : 114,422.64 = 41,320 : x
  2. Step 2: Convert to fraction form
    76,363.84/114,422.64 = 41,320/x
  3. Step 3: Cross multiply
    76,363.84x = 114,422.64 × 41,320
  4. Step 4: Simplify right side
    76,363.84x = 4,727,943,484.80
  5. Step 5: Solve for x
    x = 4,727,943,484.80/76,363.84
  6. Step 6: Final answer
    x = 61,913.38

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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.