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Finding the Fourth Proportional to 223,949.71, 309,050.58 and 123,347.71

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Solution

The fourth proportional to 223,949.71, 309,050.58 and 123,347.71 is: 170,219.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,949.71 : 309,050.58 = 123,347.71 : x
  2. Step 2: Convert to fraction form
    223,949.71/309,050.58 = 123,347.71/x
  3. Step 3: Cross multiply
    223,949.71x = 309,050.58 × 123,347.71
  4. Step 4: Simplify right side
    223,949.71x = 38,120,681,317.17
  5. Step 5: Solve for x
    x = 38,120,681,317.17/223,949.71
  6. Step 6: Final answer
    x = 170,219.83

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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.