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Finding the Fourth Proportional to 223,709.34, 308,718.95 and 123,107.34

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Solution

The fourth proportional to 223,709.34, 308,718.95 and 123,107.34 is: 169,888.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,709.34 : 308,718.95 = 123,107.34 : x
  2. Step 2: Convert to fraction form
    223,709.34/308,718.95 = 123,107.34/x
  3. Step 3: Cross multiply
    223,709.34x = 308,718.95 × 123,107.34
  4. Step 4: Simplify right side
    223,709.34x = 38,005,569,284.25
  5. Step 5: Solve for x
    x = 38,005,569,284.25/223,709.34
  6. Step 6: Final answer
    x = 169,888.16

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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.