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Finding the Fourth Proportional to 203,051.04, 280,206.36 and 112,407

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Solution

The fourth proportional to 203,051.04, 280,206.36 and 112,407 is: 155,119.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,051.04 : 280,206.36 = 112,407 : x
  2. Step 2: Convert to fraction form
    203,051.04/280,206.36 = 112,407/x
  3. Step 3: Cross multiply
    203,051.04x = 280,206.36 × 112,407
  4. Step 4: Simplify right side
    203,051.04x = 31,497,156,308.52
  5. Step 5: Solve for x
    x = 31,497,156,308.52/203,051.04
  6. Step 6: Final answer
    x = 155,119.40

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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.