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Finding the Fourth Proportional to 131,087.98, 180,916.80 and 74,507.86

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Solution

The fourth proportional to 131,087.98, 180,916.80 and 74,507.86 is: 102,829.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,087.98 : 180,916.80 = 74,507.86 : x
  2. Step 2: Convert to fraction form
    131,087.98/180,916.80 = 74,507.86/x
  3. Step 3: Cross multiply
    131,087.98x = 180,916.80 × 74,507.86
  4. Step 4: Simplify right side
    131,087.98x = 13,479,723,606.05
  5. Step 5: Solve for x
    x = 13,479,723,606.05/131,087.98
  6. Step 6: Final answer
    x = 102,829.59

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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.