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Finding the Fourth Proportional to 103,152.46, 154,712.08 and 28,255.09

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Solution

The fourth proportional to 103,152.46, 154,712.08 and 28,255.09 is: 42,378.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,152.46 : 154,712.08 = 28,255.09 : x
  2. Step 2: Convert to fraction form
    103,152.46/154,712.08 = 28,255.09/x
  3. Step 3: Cross multiply
    103,152.46x = 154,712.08 × 28,255.09
  4. Step 4: Simplify right side
    103,152.46x = 4,371,403,920.54
  5. Step 5: Solve for x
    x = 4,371,403,920.54/103,152.46
  6. Step 6: Final answer
    x = 42,378.09

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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.