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Finding the Fourth Proportional to 133,616.96, 183,971.76 and 113,432

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Solution

The fourth proportional to 133,616.96, 183,971.76 and 113,432 is: 156,179.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,616.96 : 183,971.76 = 113,432 : x
  2. Step 2: Convert to fraction form
    133,616.96/183,971.76 = 113,432/x
  3. Step 3: Cross multiply
    133,616.96x = 183,971.76 × 113,432
  4. Step 4: Simplify right side
    133,616.96x = 20,868,284,680.32
  5. Step 5: Solve for x
    x = 20,868,284,680.32/133,616.96
  6. Step 6: Final answer
    x = 156,179.91

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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.