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Finding the Fourth Proportional to 141,297.68, 194,990.64 and 77,635.32

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Solution

The fourth proportional to 141,297.68, 194,990.64 and 77,635.32 is: 107,136.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,297.68 : 194,990.64 = 77,635.32 : x
  2. Step 2: Convert to fraction form
    141,297.68/194,990.64 = 77,635.32/x
  3. Step 3: Cross multiply
    141,297.68x = 194,990.64 × 77,635.32
  4. Step 4: Simplify right side
    141,297.68x = 15,138,160,733.40
  5. Step 5: Solve for x
    x = 15,138,160,733.40/141,297.68
  6. Step 6: Final answer
    x = 107,136.65

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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.