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Finding the Fourth Proportional to 203,431.94, 280,752.70 and 112,816.32

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Solution

The fourth proportional to 203,431.94, 280,752.70 and 112,816.32 is: 155,695.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,431.94 : 280,752.70 = 112,816.32 : x
  2. Step 2: Convert to fraction form
    203,431.94/280,752.70 = 112,816.32/x
  3. Step 3: Cross multiply
    203,431.94x = 280,752.70 × 112,816.32
  4. Step 4: Simplify right side
    203,431.94x = 31,673,486,444.06
  5. Step 5: Solve for x
    x = 31,673,486,444.06/203,431.94
  6. Step 6: Final answer
    x = 155,695.74

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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.