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Finding the Fourth Proportional to 114,690.78, 158,350.41 and 87,785.28

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Solution

The fourth proportional to 114,690.78, 158,350.41 and 87,785.28 is: 121,202.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,690.78 : 158,350.41 = 87,785.28 : x
  2. Step 2: Convert to fraction form
    114,690.78/158,350.41 = 87,785.28/x
  3. Step 3: Cross multiply
    114,690.78x = 158,350.41 × 87,785.28
  4. Step 4: Simplify right side
    114,690.78x = 13,900,835,079.96
  5. Step 5: Solve for x
    x = 13,900,835,079.96/114,690.78
  6. Step 6: Final answer
    x = 121,202.73

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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.