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Finding the Fourth Proportional to 54,429, 81,643.56 and 21,597

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Solution

The fourth proportional to 54,429, 81,643.56 and 21,597 is: 32,395.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,429 : 81,643.56 = 21,597 : x
  2. Step 2: Convert to fraction form
    54,429/81,643.56 = 21,597/x
  3. Step 3: Cross multiply
    54,429x = 81,643.56 × 21,597
  4. Step 4: Simplify right side
    54,429x = 1,763,255,965.32
  5. Step 5: Solve for x
    x = 1,763,255,965.32/54,429
  6. Step 6: Final answer
    x = 32,395.52

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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.