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Finding the Fourth Proportional to 49,523, 68,340.64 and 28,009.90

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Solution

The fourth proportional to 49,523, 68,340.64 and 28,009.90 is: 38,653.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,523 : 68,340.64 = 28,009.90 : x
  2. Step 2: Convert to fraction form
    49,523/68,340.64 = 28,009.90/x
  3. Step 3: Cross multiply
    49,523x = 68,340.64 × 28,009.90
  4. Step 4: Simplify right side
    49,523x = 1,914,214,492.34
  5. Step 5: Solve for x
    x = 1,914,214,492.34/49,523
  6. Step 6: Final answer
    x = 38,653.04

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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.