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Finding the Fourth Proportional to 54,762.47, 82,143.71 and 21,498.20

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Solution

The fourth proportional to 54,762.47, 82,143.71 and 21,498.20 is: 32,247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,762.47 : 82,143.71 = 21,498.20 : x
  2. Step 2: Convert to fraction form
    54,762.47/82,143.71 = 21,498.20/x
  3. Step 3: Cross multiply
    54,762.47x = 82,143.71 × 21,498.20
  4. Step 4: Simplify right side
    54,762.47x = 1,765,941,906.32
  5. Step 5: Solve for x
    x = 1,765,941,906.32/54,762.47
  6. Step 6: Final answer
    x = 32,247.30

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1.5x scale

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.