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Finding the Fourth Proportional to 103,634.15, 155,451.23 and 82,898.15

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Solution

The fourth proportional to 103,634.15, 155,451.23 and 82,898.15 is: 124,347.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,634.15 : 155,451.23 = 82,898.15 : x
  2. Step 2: Convert to fraction form
    103,634.15/155,451.23 = 82,898.15/x
  3. Step 3: Cross multiply
    103,634.15x = 155,451.23 × 82,898.15
  4. Step 4: Simplify right side
    103,634.15x = 12,886,618,967.73
  5. Step 5: Solve for x
    x = 12,886,618,967.73/103,634.15
  6. Step 6: Final answer
    x = 124,347.23

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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.