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Finding the Fourth Proportional to 71,652.11, 98,889 and 41,431.59

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Solution

The fourth proportional to 71,652.11, 98,889 and 41,431.59 is: 57,180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,652.11 : 98,889 = 41,431.59 : x
  2. Step 2: Convert to fraction form
    71,652.11/98,889 = 41,431.59/x
  3. Step 3: Cross multiply
    71,652.11x = 98,889 × 41,431.59
  4. Step 4: Simplify right side
    71,652.11x = 4,097,128,503.51
  5. Step 5: Solve for x
    x = 4,097,128,503.51/71,652.11
  6. Step 6: Final answer
    x = 57,180.85

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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.