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Finding the Fourth Proportional to 81,174, 121,654.08 and 34,368.96

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Solution

The fourth proportional to 81,174, 121,654.08 and 34,368.96 is: 51,508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,174 : 121,654.08 = 34,368.96 : x
  2. Step 2: Convert to fraction form
    81,174/121,654.08 = 34,368.96/x
  3. Step 3: Cross multiply
    81,174x = 121,654.08 × 34,368.96
  4. Step 4: Simplify right side
    81,174x = 4,181,124,209.36
  5. Step 5: Solve for x
    x = 4,181,124,209.36/81,174
  6. Step 6: Final answer
    x = 51,508.17

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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.