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Finding the Fourth Proportional to 131,032.82, 180,830.13 and 74,453.78

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Solution

The fourth proportional to 131,032.82, 180,830.13 and 74,453.78 is: 102,748.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,032.82 : 180,830.13 = 74,453.78 : x
  2. Step 2: Convert to fraction form
    131,032.82/180,830.13 = 74,453.78/x
  3. Step 3: Cross multiply
    131,032.82x = 180,830.13 × 74,453.78
  4. Step 4: Simplify right side
    131,032.82x = 13,463,486,716.39
  5. Step 5: Solve for x
    x = 13,463,486,716.39/131,032.82
  6. Step 6: Final answer
    x = 102,748.97

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1.5x scale

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.