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Finding the Fourth Proportional to 62,406, 86,120.28 and 34,111.80

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Solution

The fourth proportional to 62,406, 86,120.28 and 34,111.80 is: 47,074.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,406 : 86,120.28 = 34,111.80 : x
  2. Step 2: Convert to fraction form
    62,406/86,120.28 = 34,111.80/x
  3. Step 3: Cross multiply
    62,406x = 86,120.28 × 34,111.80
  4. Step 4: Simplify right side
    62,406x = 2,937,717,767.30
  5. Step 5: Solve for x
    x = 2,937,717,767.30/62,406
  6. Step 6: Final answer
    x = 47,074.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.