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Finding the Fourth Proportional to 203,300.14, 280,555.84 and 112,657.62

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Solution

The fourth proportional to 203,300.14, 280,555.84 and 112,657.62 is: 155,468.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,300.14 : 280,555.84 = 112,657.62 : x
  2. Step 2: Convert to fraction form
    203,300.14/280,555.84 = 112,657.62/x
  3. Step 3: Cross multiply
    203,300.14x = 280,555.84 × 112,657.62
  4. Step 4: Simplify right side
    203,300.14x = 31,606,751,838.42
  5. Step 5: Solve for x
    x = 31,606,751,838.42/203,300.14
  6. Step 6: Final answer
    x = 155,468.42

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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.