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Finding the Fourth Proportional to 54,894, 75,757.02 and 31,020.12

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Solution

The fourth proportional to 54,894, 75,757.02 and 31,020.12 is: 42,809.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,894 : 75,757.02 = 31,020.12 : x
  2. Step 2: Convert to fraction form
    54,894/75,757.02 = 31,020.12/x
  3. Step 3: Cross multiply
    54,894x = 75,757.02 × 31,020.12
  4. Step 4: Simplify right side
    54,894x = 2,349,991,851.24
  5. Step 5: Solve for x
    x = 2,349,991,851.24/54,894
  6. Step 6: Final answer
    x = 42,809.63

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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.