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Finding the Fourth Proportional to 61,142.81, 91,718.12 and 21,165.64

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Solution

The fourth proportional to 61,142.81, 91,718.12 and 21,165.64 is: 31,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,142.81 : 91,718.12 = 21,165.64 : x
  2. Step 2: Convert to fraction form
    61,142.81/91,718.12 = 21,165.64/x
  3. Step 3: Cross multiply
    61,142.81x = 91,718.12 × 21,165.64
  4. Step 4: Simplify right side
    61,142.81x = 1,941,272,374.27
  5. Step 5: Solve for x
    x = 1,941,272,374.27/61,142.81
  6. Step 6: Final answer
    x = 31,749.81

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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.