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Finding the Fourth Proportional to 159,322.14, 219,870.83 and 87,708.83

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Solution

The fourth proportional to 159,322.14, 219,870.83 and 87,708.83 is: 121,041.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,322.14 : 219,870.83 = 87,708.83 : x
  2. Step 2: Convert to fraction form
    159,322.14/219,870.83 = 87,708.83/x
  3. Step 3: Cross multiply
    159,322.14x = 219,870.83 × 87,708.83
  4. Step 4: Simplify right side
    159,322.14x = 19,284,612,370.35
  5. Step 5: Solve for x
    x = 19,284,612,370.35/159,322.14
  6. Step 6: Final answer
    x = 121,041.64

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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.