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Finding the Fourth Proportional to 123,831.84, 185,747.76 and 49,908

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Solution

The fourth proportional to 123,831.84, 185,747.76 and 49,908 is: 74,862

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,831.84 : 185,747.76 = 49,908 : x
  2. Step 2: Convert to fraction form
    123,831.84/185,747.76 = 49,908/x
  3. Step 3: Cross multiply
    123,831.84x = 185,747.76 × 49,908
  4. Step 4: Simplify right side
    123,831.84x = 9,270,299,206.08
  5. Step 5: Solve for x
    x = 9,270,299,206.08/123,831.84
  6. Step 6: Final answer
    x = 74,862

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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.