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Finding the Fourth Proportional to 102,814.56, 154,221.82 and 57,838.90

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Solution

The fourth proportional to 102,814.56, 154,221.82 and 57,838.90 is: 86,758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,814.56 : 154,221.82 = 57,838.90 : x
  2. Step 2: Convert to fraction form
    102,814.56/154,221.82 = 57,838.90/x
  3. Step 3: Cross multiply
    102,814.56x = 154,221.82 × 57,838.90
  4. Step 4: Simplify right side
    102,814.56x = 8,920,020,424.80
  5. Step 5: Solve for x
    x = 8,920,020,424.80/102,814.56
  6. Step 6: Final answer
    x = 86,758.34

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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.