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Finding the Fourth Proportional to 135,196.53, 186,585.22 and 77,837.90

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Solution

The fourth proportional to 135,196.53, 186,585.22 and 77,837.90 is: 107,424.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,196.53 : 186,585.22 = 77,837.90 : x
  2. Step 2: Convert to fraction form
    135,196.53/186,585.22 = 77,837.90/x
  3. Step 3: Cross multiply
    135,196.53x = 186,585.22 × 77,837.90
  4. Step 4: Simplify right side
    135,196.53x = 14,523,400,860.21
  5. Step 5: Solve for x
    x = 14,523,400,860.21/135,196.53
  6. Step 6: Final answer
    x = 107,424.36

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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.