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Finding the Fourth Proportional to 213,544.80, 319,965.36 and 73,226.40

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Solution

The fourth proportional to 213,544.80, 319,965.36 and 73,226.40 is: 109,718.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,544.80 : 319,965.36 = 73,226.40 : x
  2. Step 2: Convert to fraction form
    213,544.80/319,965.36 = 73,226.40/x
  3. Step 3: Cross multiply
    213,544.80x = 319,965.36 × 73,226.40
  4. Step 4: Simplify right side
    213,544.80x = 23,429,911,437.50
  5. Step 5: Solve for x
    x = 23,429,911,437.50/213,544.80
  6. Step 6: Final answer
    x = 109,718.95

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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.