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Finding the Fourth Proportional to 153,811.32, 212,251.48 and 86,739

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Solution

The fourth proportional to 153,811.32, 212,251.48 and 86,739 is: 119,695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,811.32 : 212,251.48 = 86,739 : x
  2. Step 2: Convert to fraction form
    153,811.32/212,251.48 = 86,739/x
  3. Step 3: Cross multiply
    153,811.32x = 212,251.48 × 86,739
  4. Step 4: Simplify right side
    153,811.32x = 18,410,481,123.72
  5. Step 5: Solve for x
    x = 18,410,481,123.72/153,811.32
  6. Step 6: Final answer
    x = 119,695.23

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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.