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Finding the Fourth Proportional to 54,659, 75,416.44 and 30,780.92

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Solution

The fourth proportional to 54,659, 75,416.44 and 30,780.92 is: 42,470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,659 : 75,416.44 = 30,780.92 : x
  2. Step 2: Convert to fraction form
    54,659/75,416.44 = 30,780.92/x
  3. Step 3: Cross multiply
    54,659x = 75,416.44 × 30,780.92
  4. Step 4: Simplify right side
    54,659x = 2,321,387,406.32
  5. Step 5: Solve for x
    x = 2,321,387,406.32/54,659
  6. Step 6: Final answer
    x = 42,470.36

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1.5x scale

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.