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Finding the Fourth Proportional to 54,959, 75,843.43 and 31,085.16

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Solution

The fourth proportional to 54,959, 75,843.43 and 31,085.16 is: 42,897.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,959 : 75,843.43 = 31,085.16 : x
  2. Step 2: Convert to fraction form
    54,959/75,843.43 = 31,085.16/x
  3. Step 3: Cross multiply
    54,959x = 75,843.43 × 31,085.16
  4. Step 4: Simplify right side
    54,959x = 2,357,605,001.07
  5. Step 5: Solve for x
    x = 2,357,605,001.07/54,959
  6. Step 6: Final answer
    x = 42,897.52

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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.