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Finding the Fourth Proportional to 84,458.79, 126,435.78 and 51,077.88

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Solution

The fourth proportional to 84,458.79, 126,435.78 and 51,077.88 is: 76,464.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,458.79 : 126,435.78 = 51,077.88 : x
  2. Step 2: Convert to fraction form
    84,458.79/126,435.78 = 51,077.88/x
  3. Step 3: Cross multiply
    84,458.79x = 126,435.78 × 51,077.88
  4. Step 4: Simplify right side
    84,458.79x = 6,458,071,598.55
  5. Step 5: Solve for x
    x = 6,458,071,598.55/84,458.79
  6. Step 6: Final answer
    x = 76,464.17

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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.