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Finding the Fourth Proportional to 203,497.13, 280,826.04 and 112,866.98

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Solution

The fourth proportional to 203,497.13, 280,826.04 and 112,866.98 is: 155,756.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,497.13 : 280,826.04 = 112,866.98 : x
  2. Step 2: Convert to fraction form
    203,497.13/280,826.04 = 112,866.98/x
  3. Step 3: Cross multiply
    203,497.13x = 280,826.04 × 112,866.98
  4. Step 4: Simplify right side
    203,497.13x = 31,695,985,636.03
  5. Step 5: Solve for x
    x = 31,695,985,636.03/203,497.13
  6. Step 6: Final answer
    x = 155,756.43

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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.