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Finding the Fourth Proportional to 54,891, 75,752.88 and 31,017.12

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Solution

The fourth proportional to 54,891, 75,752.88 and 31,017.12 is: 42,805.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,891 : 75,752.88 = 31,017.12 : x
  2. Step 2: Convert to fraction form
    54,891/75,752.88 = 31,017.12/x
  3. Step 3: Cross multiply
    54,891x = 75,752.88 × 31,017.12
  4. Step 4: Simplify right side
    54,891x = 2,349,636,169.31
  5. Step 5: Solve for x
    x = 2,349,636,169.31/54,891
  6. Step 6: Final answer
    x = 42,805.49

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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.