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Finding the Fourth Proportional to 126,581.76, 174,678.12 and 69,994.08

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Solution

The fourth proportional to 126,581.76, 174,678.12 and 69,994.08 is: 96,589.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,581.76 : 174,678.12 = 69,994.08 : x
  2. Step 2: Convert to fraction form
    126,581.76/174,678.12 = 69,994.08/x
  3. Step 3: Cross multiply
    126,581.76x = 174,678.12 × 69,994.08
  4. Step 4: Simplify right side
    126,581.76x = 12,226,434,305.53
  5. Step 5: Solve for x
    x = 12,226,434,305.53/126,581.76
  6. Step 6: Final answer
    x = 96,589.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.