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Finding the Fourth Proportional to 77,842.98, 107,428.80 and 43,389.90

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Solution

The fourth proportional to 77,842.98, 107,428.80 and 43,389.90 is: 59,881.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,842.98 : 107,428.80 = 43,389.90 : x
  2. Step 2: Convert to fraction form
    77,842.98/107,428.80 = 43,389.90/x
  3. Step 3: Cross multiply
    77,842.98x = 107,428.80 × 43,389.90
  4. Step 4: Simplify right side
    77,842.98x = 4,661,324,889.12
  5. Step 5: Solve for x
    x = 4,661,324,889.12/77,842.98
  6. Step 6: Final answer
    x = 59,881.12

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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.