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Finding the Fourth Proportional to 131,774.66, 181,846.86 and 71,344.82

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Solution

The fourth proportional to 131,774.66, 181,846.86 and 71,344.82 is: 98,454.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,774.66 : 181,846.86 = 71,344.82 : x
  2. Step 2: Convert to fraction form
    131,774.66/181,846.86 = 71,344.82/x
  3. Step 3: Cross multiply
    131,774.66x = 181,846.86 × 71,344.82
  4. Step 4: Simplify right side
    131,774.66x = 12,973,831,494.27
  5. Step 5: Solve for x
    x = 12,973,831,494.27/131,774.66
  6. Step 6: Final answer
    x = 98,454.68

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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.