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Finding the Fourth Proportional to 61,422.24, 92,114.16 and 19,860.64

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Solution

The fourth proportional to 61,422.24, 92,114.16 and 19,860.64 is: 29,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,422.24 : 92,114.16 = 19,860.64 : x
  2. Step 2: Convert to fraction form
    61,422.24/92,114.16 = 19,860.64/x
  3. Step 3: Cross multiply
    61,422.24x = 92,114.16 × 19,860.64
  4. Step 4: Simplify right side
    61,422.24x = 1,829,446,170.66
  5. Step 5: Solve for x
    x = 1,829,446,170.66/61,422.24
  6. Step 6: Final answer
    x = 29,784.75

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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.