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Finding the Fourth Proportional to 77,857.50, 107,449.86 and 43,872.66

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Solution

The fourth proportional to 77,857.50, 107,449.86 and 43,872.66 is: 60,547.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,857.50 : 107,449.86 = 43,872.66 : x
  2. Step 2: Convert to fraction form
    77,857.50/107,449.86 = 43,872.66/x
  3. Step 3: Cross multiply
    77,857.50x = 107,449.86 × 43,872.66
  4. Step 4: Simplify right side
    77,857.50x = 4,714,111,174.83
  5. Step 5: Solve for x
    x = 4,714,111,174.83/77,857.50
  6. Step 6: Final answer
    x = 60,547.94

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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.