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Finding the Fourth Proportional to 102,959.66, 154,423.62 and 28,085.90

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Solution

The fourth proportional to 102,959.66, 154,423.62 and 28,085.90 is: 42,124.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,959.66 : 154,423.62 = 28,085.90 : x
  2. Step 2: Convert to fraction form
    102,959.66/154,423.62 = 28,085.90/x
  3. Step 3: Cross multiply
    102,959.66x = 154,423.62 × 28,085.90
  4. Step 4: Simplify right side
    102,959.66x = 4,337,125,576.84
  5. Step 5: Solve for x
    x = 4,337,125,576.84/102,959.66
  6. Step 6: Final answer
    x = 42,124.52

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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.