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Finding the Fourth Proportional to 161,447.76, 242,226.09 and 71,478.06

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Solution

The fourth proportional to 161,447.76, 242,226.09 and 71,478.06 is: 107,241.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,447.76 : 242,226.09 = 71,478.06 : x
  2. Step 2: Convert to fraction form
    161,447.76/242,226.09 = 71,478.06/x
  3. Step 3: Cross multiply
    161,447.76x = 242,226.09 × 71,478.06
  4. Step 4: Simplify right side
    161,447.76x = 17,313,850,994.59
  5. Step 5: Solve for x
    x = 17,313,850,994.59/161,447.76
  6. Step 6: Final answer
    x = 107,241.20

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1.5x scale

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.