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Finding the Fourth Proportional to 154,295.99, 231,217.55 and 86,959.11

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Solution

The fourth proportional to 154,295.99, 231,217.55 and 86,959.11 is: 130,311.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,295.99 : 231,217.55 = 86,959.11 : x
  2. Step 2: Convert to fraction form
    154,295.99/231,217.55 = 86,959.11/x
  3. Step 3: Cross multiply
    154,295.99x = 231,217.55 × 86,959.11
  4. Step 4: Simplify right side
    154,295.99x = 20,106,472,364.38
  5. Step 5: Solve for x
    x = 20,106,472,364.38/154,295.99
  6. Step 6: Final answer
    x = 130,311.05

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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.