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Finding the Fourth Proportional to 77,657.36, 107,136.68 and 43,658

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Solution

The fourth proportional to 77,657.36, 107,136.68 and 43,658 is: 60,230.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,657.36 : 107,136.68 = 43,658 : x
  2. Step 2: Convert to fraction form
    77,657.36/107,136.68 = 43,658/x
  3. Step 3: Cross multiply
    77,657.36x = 107,136.68 × 43,658
  4. Step 4: Simplify right side
    77,657.36x = 4,677,373,175.44
  5. Step 5: Solve for x
    x = 4,677,373,175.44/77,657.36
  6. Step 6: Final answer
    x = 60,230.91

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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.