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Finding the Fourth Proportional to 54,339, 74,988.03 and 31,693.63

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Solution

The fourth proportional to 54,339, 74,988.03 and 31,693.63 is: 43,737.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,339 : 74,988.03 = 31,693.63 : x
  2. Step 2: Convert to fraction form
    54,339/74,988.03 = 31,693.63/x
  3. Step 3: Cross multiply
    54,339x = 74,988.03 × 31,693.63
  4. Step 4: Simplify right side
    54,339x = 2,376,642,877.25
  5. Step 5: Solve for x
    x = 2,376,642,877.25/54,339
  6. Step 6: Final answer
    x = 43,737.33

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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.