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Finding the Fourth Proportional to 77,839, 107,417.94 and 44,305

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Solution

The fourth proportional to 77,839, 107,417.94 and 44,305 is: 61,140.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,839 : 107,417.94 = 44,305 : x
  2. Step 2: Convert to fraction form
    77,839/107,417.94 = 44,305/x
  3. Step 3: Cross multiply
    77,839x = 107,417.94 × 44,305
  4. Step 4: Simplify right side
    77,839x = 4,759,151,831.70
  5. Step 5: Solve for x
    x = 4,759,151,831.70/77,839
  6. Step 6: Final answer
    x = 61,140.97

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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.