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Finding the Fourth Proportional to 54,689.52, 75,472.72 and 30,492

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Solution

The fourth proportional to 54,689.52, 75,472.72 and 30,492 is: 42,079.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,689.52 : 75,472.72 = 30,492 : x
  2. Step 2: Convert to fraction form
    54,689.52/75,472.72 = 30,492/x
  3. Step 3: Cross multiply
    54,689.52x = 75,472.72 × 30,492
  4. Step 4: Simplify right side
    54,689.52x = 2,301,314,178.24
  5. Step 5: Solve for x
    x = 2,301,314,178.24/54,689.52
  6. Step 6: Final answer
    x = 42,079.62

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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.