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Finding the Fourth Proportional to 223,993.56, 309,111 and 123,391.56

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Solution

The fourth proportional to 223,993.56, 309,111 and 123,391.56 is: 170,280.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,993.56 : 309,111 = 123,391.56 : x
  2. Step 2: Convert to fraction form
    223,993.56/309,111 = 123,391.56/x
  3. Step 3: Cross multiply
    223,993.56x = 309,111 × 123,391.56
  4. Step 4: Simplify right side
    223,993.56x = 38,141,688,503.16
  5. Step 5: Solve for x
    x = 38,141,688,503.16/223,993.56
  6. Step 6: Final answer
    x = 170,280.29

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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.