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Finding the Fourth Proportional to 203,533.40, 280,889.70 and 112,918.16

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Solution

The fourth proportional to 203,533.40, 280,889.70 and 112,918.16 is: 155,834.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,533.40 : 280,889.70 = 112,918.16 : x
  2. Step 2: Convert to fraction form
    203,533.40/280,889.70 = 112,918.16/x
  3. Step 3: Cross multiply
    203,533.40x = 280,889.70 × 112,918.16
  4. Step 4: Simplify right side
    203,533.40x = 31,717,548,086.95
  5. Step 5: Solve for x
    x = 31,717,548,086.95/203,533.40
  6. Step 6: Final answer
    x = 155,834.61

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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.