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Finding the Fourth Proportional to 52,304, 78,473.28 and 21,122.24

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Solution

The fourth proportional to 52,304, 78,473.28 and 21,122.24 is: 31,690.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,304 : 78,473.28 = 21,122.24 : x
  2. Step 2: Convert to fraction form
    52,304/78,473.28 = 21,122.24/x
  3. Step 3: Cross multiply
    52,304x = 78,473.28 × 21,122.24
  4. Step 4: Simplify right side
    52,304x = 1,657,531,453.75
  5. Step 5: Solve for x
    x = 1,657,531,453.75/52,304
  6. Step 6: Final answer
    x = 31,690.34

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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.