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Finding the Fourth Proportional to 61,416, 92,124 and 17,640

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Solution

The fourth proportional to 61,416, 92,124 and 17,640 is: 26,460

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,416 : 92,124 = 17,640 : x
  2. Step 2: Convert to fraction form
    61,416/92,124 = 17,640/x
  3. Step 3: Cross multiply
    61,416x = 92,124 × 17,640
  4. Step 4: Simplify right side
    61,416x = 1,625,067,360
  5. Step 5: Solve for x
    x = 1,625,067,360/61,416
  6. Step 6: Final answer
    x = 26,460

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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.