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Finding the Fourth Proportional to 289,065.12, 433,566.54 and 75,854.52

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Solution

The fourth proportional to 289,065.12, 433,566.54 and 75,854.52 is: 113,773.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,065.12 : 433,566.54 = 75,854.52 : x
  2. Step 2: Convert to fraction form
    289,065.12/433,566.54 = 75,854.52/x
  3. Step 3: Cross multiply
    289,065.12x = 433,566.54 × 75,854.52
  4. Step 4: Simplify right side
    289,065.12x = 32,887,981,779.76
  5. Step 5: Solve for x
    x = 32,887,981,779.76/289,065.12
  6. Step 6: Final answer
    x = 113,773.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.