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Finding the Fourth Proportional to 70,770, 106,154.52 and 18,179.52

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Solution

The fourth proportional to 70,770, 106,154.52 and 18,179.52 is: 27,269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,770 : 106,154.52 = 18,179.52 : x
  2. Step 2: Convert to fraction form
    70,770/106,154.52 = 18,179.52/x
  3. Step 3: Cross multiply
    70,770x = 106,154.52 × 18,179.52
  4. Step 4: Simplify right side
    70,770x = 1,929,838,219.43
  5. Step 5: Solve for x
    x = 1,929,838,219.43/70,770
  6. Step 6: Final answer
    x = 27,269.16

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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.