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Finding the Fourth Proportional to 61,142.68, 91,740.40 and 33,082.50

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Solution

The fourth proportional to 61,142.68, 91,740.40 and 33,082.50 is: 49,638.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,142.68 : 91,740.40 = 33,082.50 : x
  2. Step 2: Convert to fraction form
    61,142.68/91,740.40 = 33,082.50/x
  3. Step 3: Cross multiply
    61,142.68x = 91,740.40 × 33,082.50
  4. Step 4: Simplify right side
    61,142.68x = 3,035,001,783
  5. Step 5: Solve for x
    x = 3,035,001,783/61,142.68
  6. Step 6: Final answer
    x = 49,638.02

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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.