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Finding the Fourth Proportional to 61,121, 91,696.86 and 17,345

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Solution

The fourth proportional to 61,121, 91,696.86 and 17,345 is: 26,021.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,121 : 91,696.86 = 17,345 : x
  2. Step 2: Convert to fraction form
    61,121/91,696.86 = 17,345/x
  3. Step 3: Cross multiply
    61,121x = 91,696.86 × 17,345
  4. Step 4: Simplify right side
    61,121x = 1,590,482,036.70
  5. Step 5: Solve for x
    x = 1,590,482,036.70/61,121
  6. Step 6: Final answer
    x = 26,021.86

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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.