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Finding the Fourth Proportional to 54,512, 81,290.92 and 54,013.76

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Solution

The fourth proportional to 54,512, 81,290.92 and 54,013.76 is: 80,547.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,512 : 81,290.92 = 54,013.76 : x
  2. Step 2: Convert to fraction form
    54,512/81,290.92 = 54,013.76/x
  3. Step 3: Cross multiply
    54,512x = 81,290.92 × 54,013.76
  4. Step 4: Simplify right side
    54,512x = 4,390,828,243.06
  5. Step 5: Solve for x
    x = 4,390,828,243.06/54,512
  6. Step 6: Final answer
    x = 80,547.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.