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Finding the Fourth Proportional to 71,648.54, 107,270.04 and 54,762.20

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Solution

The fourth proportional to 71,648.54, 107,270.04 and 54,762.20 is: 81,988.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,648.54 : 107,270.04 = 54,762.20 : x
  2. Step 2: Convert to fraction form
    71,648.54/107,270.04 = 54,762.20/x
  3. Step 3: Cross multiply
    71,648.54x = 107,270.04 × 54,762.20
  4. Step 4: Simplify right side
    71,648.54x = 5,874,343,384.49
  5. Step 5: Solve for x
    x = 5,874,343,384.49/71,648.54
  6. Step 6: Final answer
    x = 81,988.32

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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.