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Finding the Fourth Proportional to 77,136.91, 115,719.84 and 35,019.95

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Solution

The fourth proportional to 77,136.91, 115,719.84 and 35,019.95 is: 52,536.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,136.91 : 115,719.84 = 35,019.95 : x
  2. Step 2: Convert to fraction form
    77,136.91/115,719.84 = 35,019.95/x
  3. Step 3: Cross multiply
    77,136.91x = 115,719.84 × 35,019.95
  4. Step 4: Simplify right side
    77,136.91x = 4,052,502,432.21
  5. Step 5: Solve for x
    x = 4,052,502,432.21/77,136.91
  6. Step 6: Final answer
    x = 52,536.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.