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Finding the Fourth Proportional to 203,614.68, 280,983 and 112,970.28

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Solution

The fourth proportional to 203,614.68, 280,983 and 112,970.28 is: 155,896.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,614.68 : 280,983 = 112,970.28 : x
  2. Step 2: Convert to fraction form
    203,614.68/280,983 = 112,970.28/x
  3. Step 3: Cross multiply
    203,614.68x = 280,983 × 112,970.28
  4. Step 4: Simplify right side
    203,614.68x = 31,742,728,185.24
  5. Step 5: Solve for x
    x = 31,742,728,185.24/203,614.68
  6. Step 6: Final answer
    x = 155,896.07

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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.