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Finding the Fourth Proportional to 289,179.72, 433,756.82 and 78,817.66

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Solution

The fourth proportional to 289,179.72, 433,756.82 and 78,817.66 is: 118,223.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,179.72 : 433,756.82 = 78,817.66 : x
  2. Step 2: Convert to fraction form
    289,179.72/433,756.82 = 78,817.66/x
  3. Step 3: Cross multiply
    289,179.72x = 433,756.82 × 78,817.66
  4. Step 4: Simplify right side
    289,179.72x = 34,187,696,674.09
  5. Step 5: Solve for x
    x = 34,187,696,674.09/289,179.72
  6. Step 6: Final answer
    x = 118,223.01

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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.