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Finding the Fourth Proportional to 159,079.68, 219,530.52 and 87,464.24

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Solution

The fourth proportional to 159,079.68, 219,530.52 and 87,464.24 is: 120,700.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,079.68 : 219,530.52 = 87,464.24 : x
  2. Step 2: Convert to fraction form
    159,079.68/219,530.52 = 87,464.24/x
  3. Step 3: Cross multiply
    159,079.68x = 219,530.52 × 87,464.24
  4. Step 4: Simplify right side
    159,079.68x = 19,201,069,814.19
  5. Step 5: Solve for x
    x = 19,201,069,814.19/159,079.68
  6. Step 6: Final answer
    x = 120,700.96

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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.