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Finding the Fourth Proportional to 159,399, 219,966.48 and 87,778.26

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Solution

The fourth proportional to 159,399, 219,966.48 and 87,778.26 is: 121,131.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,399 : 219,966.48 = 87,778.26 : x
  2. Step 2: Convert to fraction form
    159,399/219,966.48 = 87,778.26/x
  3. Step 3: Cross multiply
    159,399x = 219,966.48 × 87,778.26
  4. Step 4: Simplify right side
    159,399x = 19,308,274,872.72
  5. Step 5: Solve for x
    x = 19,308,274,872.72/159,399
  6. Step 6: Final answer
    x = 121,131.72

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1.5x scale

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.