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Finding the Fourth Proportional to 203,465.54, 280,783.05 and 112,827.89

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Solution

The fourth proportional to 203,465.54, 280,783.05 and 112,827.89 is: 155,702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,465.54 : 280,783.05 = 112,827.89 : x
  2. Step 2: Convert to fraction form
    203,465.54/280,783.05 = 112,827.89/x
  3. Step 3: Cross multiply
    203,465.54x = 280,783.05 × 112,827.89
  4. Step 4: Simplify right side
    203,465.54x = 31,680,159,079.26
  5. Step 5: Solve for x
    x = 31,680,159,079.26/203,465.54
  6. Step 6: Final answer
    x = 155,702.82

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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.