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Finding the Fourth Proportional to 203,224.51, 280,449.78 and 112,586.36

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Solution

The fourth proportional to 203,224.51, 280,449.78 and 112,586.36 is: 155,369.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,224.51 : 280,449.78 = 112,586.36 : x
  2. Step 2: Convert to fraction form
    203,224.51/280,449.78 = 112,586.36/x
  3. Step 3: Cross multiply
    203,224.51x = 280,449.78 × 112,586.36
  4. Step 4: Simplify right side
    203,224.51x = 31,574,819,330.07
  5. Step 5: Solve for x
    x = 31,574,819,330.07/203,224.51
  6. Step 6: Final answer
    x = 155,369.15

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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.