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Finding the Fourth Proportional to 156,750.62, 216,382 and 105,832.28

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Solution

The fourth proportional to 156,750.62, 216,382 and 105,832.28 is: 146,093.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,750.62 : 216,382 = 105,832.28 : x
  2. Step 2: Convert to fraction form
    156,750.62/216,382 = 105,832.28/x
  3. Step 3: Cross multiply
    156,750.62x = 216,382 × 105,832.28
  4. Step 4: Simplify right side
    156,750.62x = 22,900,200,410.96
  5. Step 5: Solve for x
    x = 22,900,200,410.96/156,750.62
  6. Step 6: Final answer
    x = 146,093.20

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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.