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Finding the Fourth Proportional to 213,328.70, 319,993.02 and 63,565.10

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Solution

The fourth proportional to 213,328.70, 319,993.02 and 63,565.10 is: 95,347.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,328.70 : 319,993.02 = 63,565.10 : x
  2. Step 2: Convert to fraction form
    213,328.70/319,993.02 = 63,565.10/x
  3. Step 3: Cross multiply
    213,328.70x = 319,993.02 × 63,565.10
  4. Step 4: Simplify right side
    213,328.70x = 20,340,388,315.60
  5. Step 5: Solve for x
    x = 20,340,388,315.60/213,328.70
  6. Step 6: Final answer
    x = 95,347.64

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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.