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Finding the Fourth Proportional to 61,538.67, 92,309.90 and 19,419.12

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Solution

The fourth proportional to 61,538.67, 92,309.90 and 19,419.12 is: 29,129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,538.67 : 92,309.90 = 19,419.12 : x
  2. Step 2: Convert to fraction form
    61,538.67/92,309.90 = 19,419.12/x
  3. Step 3: Cross multiply
    61,538.67x = 92,309.90 × 19,419.12
  4. Step 4: Simplify right side
    61,538.67x = 1,792,576,928.19
  5. Step 5: Solve for x
    x = 1,792,576,928.19/61,538.67
  6. Step 6: Final answer
    x = 29,129.28

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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.