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Finding the Fourth Proportional to 154,642.63, 231,927.75 and 87,203.80

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Solution

The fourth proportional to 154,642.63, 231,927.75 and 87,203.80 is: 130,785.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,642.63 : 231,927.75 = 87,203.80 : x
  2. Step 2: Convert to fraction form
    154,642.63/231,927.75 = 87,203.80/x
  3. Step 3: Cross multiply
    154,642.63x = 231,927.75 × 87,203.80
  4. Step 4: Simplify right side
    154,642.63x = 20,224,981,125.45
  5. Step 5: Solve for x
    x = 20,224,981,125.45/154,642.63
  6. Step 6: Final answer
    x = 130,785.29

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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.