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Finding the Fourth Proportional to 71,768, 107,669.40 and 22,520

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Solution

The fourth proportional to 71,768, 107,669.40 and 22,520 is: 33,785.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,768 : 107,669.40 = 22,520 : x
  2. Step 2: Convert to fraction form
    71,768/107,669.40 = 22,520/x
  3. Step 3: Cross multiply
    71,768x = 107,669.40 × 22,520
  4. Step 4: Simplify right side
    71,768x = 2,424,714,888
  5. Step 5: Solve for x
    x = 2,424,714,888/71,768
  6. Step 6: Final answer
    x = 33,785.46

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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.