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Finding the Fourth Proportional to 134,680, 185,876.40 and 87,072.16

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Solution

The fourth proportional to 134,680, 185,876.40 and 87,072.16 is: 120,171.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,680 : 185,876.40 = 87,072.16 : x
  2. Step 2: Convert to fraction form
    134,680/185,876.40 = 87,072.16/x
  3. Step 3: Cross multiply
    134,680x = 185,876.40 × 87,072.16
  4. Step 4: Simplify right side
    134,680x = 16,184,659,641.02
  5. Step 5: Solve for x
    x = 16,184,659,641.02/134,680
  6. Step 6: Final answer
    x = 120,171.22

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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.