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Finding the Fourth Proportional to 203,051.64, 280,207.11 and 112,407.63

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Solution

The fourth proportional to 203,051.64, 280,207.11 and 112,407.63 is: 155,120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,051.64 : 280,207.11 = 112,407.63 : x
  2. Step 2: Convert to fraction form
    203,051.64/280,207.11 = 112,407.63/x
  3. Step 3: Cross multiply
    203,051.64x = 280,207.11 × 112,407.63
  4. Step 4: Simplify right side
    203,051.64x = 31,497,417,144.25
  5. Step 5: Solve for x
    x = 31,497,417,144.25/203,051.64
  6. Step 6: Final answer
    x = 155,120.23

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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.