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Finding the Fourth Proportional to 102,902.70, 154,062.45 and 92,405.10

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Solution

The fourth proportional to 102,902.70, 154,062.45 and 92,405.10 is: 138,345.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,902.70 : 154,062.45 = 92,405.10 : x
  2. Step 2: Convert to fraction form
    102,902.70/154,062.45 = 92,405.10/x
  3. Step 3: Cross multiply
    102,902.70x = 154,062.45 × 92,405.10
  4. Step 4: Simplify right side
    102,902.70x = 14,236,156,098.50
  5. Step 5: Solve for x
    x = 14,236,156,098.50/102,902.70
  6. Step 6: Final answer
    x = 138,345.80

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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.