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Finding the Fourth Proportional to 61,120, 91,695.36 and 17,344

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Solution

The fourth proportional to 61,120, 91,695.36 and 17,344 is: 26,020.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,120 : 91,695.36 = 17,344 : x
  2. Step 2: Convert to fraction form
    61,120/91,695.36 = 17,344/x
  3. Step 3: Cross multiply
    61,120x = 91,695.36 × 17,344
  4. Step 4: Simplify right side
    61,120x = 1,590,364,323.84
  5. Step 5: Solve for x
    x = 1,590,364,323.84/61,120
  6. Step 6: Final answer
    x = 26,020.36

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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.