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Finding the Fourth Proportional to 84,141.46, 126,084.48 and 61,848.64

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Solution

The fourth proportional to 84,141.46, 126,084.48 and 61,848.64 is: 92,679.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,141.46 : 126,084.48 = 61,848.64 : x
  2. Step 2: Convert to fraction form
    84,141.46/126,084.48 = 61,848.64/x
  3. Step 3: Cross multiply
    84,141.46x = 126,084.48 × 61,848.64
  4. Step 4: Simplify right side
    84,141.46x = 7,798,153,613.11
  5. Step 5: Solve for x
    x = 7,798,153,613.11/84,141.46
  6. Step 6: Final answer
    x = 92,679.09

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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.