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Finding the Fourth Proportional to 207,099.40, 285,793.76 and 115,215.16

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Solution

The fourth proportional to 207,099.40, 285,793.76 and 115,215.16 is: 158,995.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,099.40 : 285,793.76 = 115,215.16 : x
  2. Step 2: Convert to fraction form
    207,099.40/285,793.76 = 115,215.16/x
  3. Step 3: Cross multiply
    207,099.40x = 285,793.76 × 115,215.16
  4. Step 4: Simplify right side
    207,099.40x = 32,927,773,785.40
  5. Step 5: Solve for x
    x = 32,927,773,785.40/207,099.40
  6. Step 6: Final answer
    x = 158,995.02

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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.