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Finding the Fourth Proportional to 57,838.80, 86,831.12 and 49,991.16

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Solution

The fourth proportional to 57,838.80, 86,831.12 and 49,991.16 is: 75,049.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,838.80 : 86,831.12 = 49,991.16 : x
  2. Step 2: Convert to fraction form
    57,838.80/86,831.12 = 49,991.16/x
  3. Step 3: Cross multiply
    57,838.80x = 86,831.12 × 49,991.16
  4. Step 4: Simplify right side
    57,838.80x = 4,340,788,412.90
  5. Step 5: Solve for x
    x = 4,340,788,412.90/57,838.80
  6. Step 6: Final answer
    x = 75,049.77

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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.