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Finding the Fourth Proportional to 49,748.70, 74,513.70 and 20,151.30

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Solution

The fourth proportional to 49,748.70, 74,513.70 and 20,151.30 is: 30,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,748.70 : 74,513.70 = 20,151.30 : x
  2. Step 2: Convert to fraction form
    49,748.70/74,513.70 = 20,151.30/x
  3. Step 3: Cross multiply
    49,748.70x = 74,513.70 × 20,151.30
  4. Step 4: Simplify right side
    49,748.70x = 1,501,547,922.81
  5. Step 5: Solve for x
    x = 1,501,547,922.81/49,748.70
  6. Step 6: Final answer
    x = 30,182.66

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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.