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Finding the Fourth Proportional to 159,716, 220,409.12 and 88,097.96

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Solution

The fourth proportional to 159,716, 220,409.12 and 88,097.96 is: 121,575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,716 : 220,409.12 = 88,097.96 : x
  2. Step 2: Convert to fraction form
    159,716/220,409.12 = 88,097.96/x
  3. Step 3: Cross multiply
    159,716x = 220,409.12 × 88,097.96
  4. Step 4: Simplify right side
    159,716x = 19,417,593,837.40
  5. Step 5: Solve for x
    x = 19,417,593,837.40/159,716
  6. Step 6: Final answer
    x = 121,575.76

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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.