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Finding the Fourth Proportional to 289,221.73, 433,730.98 and 86,757.47

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Solution

The fourth proportional to 289,221.73, 433,730.98 and 86,757.47 is: 130,105.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,221.73 : 433,730.98 = 86,757.47 : x
  2. Step 2: Convert to fraction form
    289,221.73/433,730.98 = 86,757.47/x
  3. Step 3: Cross multiply
    289,221.73x = 433,730.98 × 86,757.47
  4. Step 4: Simplify right side
    289,221.73x = 37,629,402,485.42
  5. Step 5: Solve for x
    x = 37,629,402,485.42/289,221.73
  6. Step 6: Final answer
    x = 130,105.72

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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.