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Finding the Fourth Proportional to 49,952.04, 74,920.50 and 18,780

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Solution

The fourth proportional to 49,952.04, 74,920.50 and 18,780 is: 28,167.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,952.04 : 74,920.50 = 18,780 : x
  2. Step 2: Convert to fraction form
    49,952.04/74,920.50 = 18,780/x
  3. Step 3: Cross multiply
    49,952.04x = 74,920.50 × 18,780
  4. Step 4: Simplify right side
    49,952.04x = 1,407,006,990
  5. Step 5: Solve for x
    x = 1,407,006,990/49,952.04
  6. Step 6: Final answer
    x = 28,167.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.