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Finding the Fourth Proportional to 131,408.01, 181,343.30 and 77,719.59

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Solution

The fourth proportional to 131,408.01, 181,343.30 and 77,719.59 is: 107,253.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,408.01 : 181,343.30 = 77,719.59 : x
  2. Step 2: Convert to fraction form
    131,408.01/181,343.30 = 77,719.59/x
  3. Step 3: Cross multiply
    131,408.01x = 181,343.30 × 77,719.59
  4. Step 4: Simplify right side
    131,408.01x = 14,093,926,536.65
  5. Step 5: Solve for x
    x = 14,093,926,536.65/131,408.01
  6. Step 6: Final answer
    x = 107,253.18

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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.