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Finding the Fourth Proportional to 49,114.38, 67,774.74 and 28,972.08

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Solution

The fourth proportional to 49,114.38, 67,774.74 and 28,972.08 is: 39,979.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,114.38 : 67,774.74 = 28,972.08 : x
  2. Step 2: Convert to fraction form
    49,114.38/67,774.74 = 28,972.08/x
  3. Step 3: Cross multiply
    49,114.38x = 67,774.74 × 28,972.08
  4. Step 4: Simplify right side
    49,114.38x = 1,963,575,189.26
  5. Step 5: Solve for x
    x = 1,963,575,189.26/49,114.38
  6. Step 6: Final answer
    x = 39,979.64

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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.