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Finding the Fourth Proportional to 121,884.10, 182,826.15 and 101,148.10

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Solution

The fourth proportional to 121,884.10, 182,826.15 and 101,148.10 is: 151,722.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,884.10 : 182,826.15 = 101,148.10 : x
  2. Step 2: Convert to fraction form
    121,884.10/182,826.15 = 101,148.10/x
  3. Step 3: Cross multiply
    121,884.10x = 182,826.15 × 101,148.10
  4. Step 4: Simplify right side
    121,884.10x = 18,492,517,702.82
  5. Step 5: Solve for x
    x = 18,492,517,702.82/121,884.10
  6. Step 6: Final answer
    x = 151,722.15

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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.