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Finding the Fourth Proportional to 72,892.65, 100,588.46 and 49,015.47

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Solution

The fourth proportional to 72,892.65, 100,588.46 and 49,015.47 is: 67,639.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,892.65 : 100,588.46 = 49,015.47 : x
  2. Step 2: Convert to fraction form
    72,892.65/100,588.46 = 49,015.47/x
  3. Step 3: Cross multiply
    72,892.65x = 100,588.46 × 49,015.47
  4. Step 4: Simplify right side
    72,892.65x = 4,930,390,398.40
  5. Step 5: Solve for x
    x = 4,930,390,398.40/72,892.65
  6. Step 6: Final answer
    x = 67,639.06

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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.