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Finding the Fourth Proportional to 85,565.84, 128,241.75 and 41,180.72

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Solution

The fourth proportional to 85,565.84, 128,241.75 and 41,180.72 is: 61,719.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,565.84 : 128,241.75 = 41,180.72 : x
  2. Step 2: Convert to fraction form
    85,565.84/128,241.75 = 41,180.72/x
  3. Step 3: Cross multiply
    85,565.84x = 128,241.75 × 41,180.72
  4. Step 4: Simplify right side
    85,565.84x = 5,281,087,599.06
  5. Step 5: Solve for x
    x = 5,281,087,599.06/85,565.84
  6. Step 6: Final answer
    x = 61,719.58

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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.