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Finding the Fourth Proportional to 203,468.98, 280,790.54 and 112,828.76

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Solution

The fourth proportional to 203,468.98, 280,790.54 and 112,828.76 is: 155,705.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,468.98 : 280,790.54 = 112,828.76 : x
  2. Step 2: Convert to fraction form
    203,468.98/280,790.54 = 112,828.76/x
  3. Step 3: Cross multiply
    203,468.98x = 280,790.54 × 112,828.76
  4. Step 4: Simplify right side
    203,468.98x = 31,681,248,447.93
  5. Step 5: Solve for x
    x = 31,681,248,447.93/203,468.98
  6. Step 6: Final answer
    x = 155,705.55

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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.