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Finding the Fourth Proportional to 52,198.80, 72,001.50 and 30,963

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Solution

The fourth proportional to 52,198.80, 72,001.50 and 30,963 is: 42,709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,198.80 : 72,001.50 = 30,963 : x
  2. Step 2: Convert to fraction form
    52,198.80/72,001.50 = 30,963/x
  3. Step 3: Cross multiply
    52,198.80x = 72,001.50 × 30,963
  4. Step 4: Simplify right side
    52,198.80x = 2,229,382,444.50
  5. Step 5: Solve for x
    x = 2,229,382,444.50/52,198.80
  6. Step 6: Final answer
    x = 42,709.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.