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Finding the Fourth Proportional to 76,988.17, 106,248 and 54,334.54

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Solution

The fourth proportional to 76,988.17, 106,248 and 54,334.54 is: 74,984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,988.17 : 106,248 = 54,334.54 : x
  2. Step 2: Convert to fraction form
    76,988.17/106,248 = 54,334.54/x
  3. Step 3: Cross multiply
    76,988.17x = 106,248 × 54,334.54
  4. Step 4: Simplify right side
    76,988.17x = 5,772,936,205.92
  5. Step 5: Solve for x
    x = 5,772,936,205.92/76,988.17
  6. Step 6: Final answer
    x = 74,984.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.