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Finding the Fourth Proportional to 121,590, 182,235.24 and 86,338.80

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Solution

The fourth proportional to 121,590, 182,235.24 and 86,338.80 is: 129,401.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,590 : 182,235.24 = 86,338.80 : x
  2. Step 2: Convert to fraction form
    121,590/182,235.24 = 86,338.80/x
  3. Step 3: Cross multiply
    121,590x = 182,235.24 × 86,338.80
  4. Step 4: Simplify right side
    121,590x = 15,733,971,939.31
  5. Step 5: Solve for x
    x = 15,733,971,939.31/121,590
  6. Step 6: Final answer
    x = 129,401.86

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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.