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Finding the Fourth Proportional to 213,549.80, 319,972.86 and 73,231.40

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Solution

The fourth proportional to 213,549.80, 319,972.86 and 73,231.40 is: 109,726.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,549.80 : 319,972.86 = 73,231.40 : x
  2. Step 2: Convert to fraction form
    213,549.80/319,972.86 = 73,231.40/x
  3. Step 3: Cross multiply
    213,549.80x = 319,972.86 × 73,231.40
  4. Step 4: Simplify right side
    213,549.80x = 23,432,060,499.80
  5. Step 5: Solve for x
    x = 23,432,060,499.80/213,549.80
  6. Step 6: Final answer
    x = 109,726.45

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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.