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Finding the Fourth Proportional to 54,563, 75,291.56 and 30,689.16

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Solution

The fourth proportional to 54,563, 75,291.56 and 30,689.16 is: 42,348.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,563 : 75,291.56 = 30,689.16 : x
  2. Step 2: Convert to fraction form
    54,563/75,291.56 = 30,689.16/x
  3. Step 3: Cross multiply
    54,563x = 75,291.56 × 30,689.16
  4. Step 4: Simplify right side
    54,563x = 2,310,634,731.49
  5. Step 5: Solve for x
    x = 2,310,634,731.49/54,563
  6. Step 6: Final answer
    x = 42,348.01

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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.