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Finding the Fourth Proportional to 213,145.66, 319,649.27 and 70,952.75

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Solution

The fourth proportional to 213,145.66, 319,649.27 and 70,952.75 is: 106,406.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,145.66 : 319,649.27 = 70,952.75 : x
  2. Step 2: Convert to fraction form
    213,145.66/319,649.27 = 70,952.75/x
  3. Step 3: Cross multiply
    213,145.66x = 319,649.27 × 70,952.75
  4. Step 4: Simplify right side
    213,145.66x = 22,679,993,143.75
  5. Step 5: Solve for x
    x = 22,679,993,143.75/213,145.66
  6. Step 6: Final answer
    x = 106,406.08

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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.