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Finding the Fourth Proportional to 77,821.74, 107,392.83 and 43,830.29

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Solution

The fourth proportional to 77,821.74, 107,392.83 and 43,830.29 is: 60,485.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,821.74 : 107,392.83 = 43,830.29 : x
  2. Step 2: Convert to fraction form
    77,821.74/107,392.83 = 43,830.29/x
  3. Step 3: Cross multiply
    77,821.74x = 107,392.83 × 43,830.29
  4. Step 4: Simplify right side
    77,821.74x = 4,707,058,345.86
  5. Step 5: Solve for x
    x = 4,707,058,345.86/77,821.74
  6. Step 6: Final answer
    x = 60,485.13

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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.