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Finding the Fourth Proportional to 203,418.84, 280,710.26 and 112,776.20

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Solution

The fourth proportional to 203,418.84, 280,710.26 and 112,776.20 is: 155,626.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,418.84 : 280,710.26 = 112,776.20 : x
  2. Step 2: Convert to fraction form
    203,418.84/280,710.26 = 112,776.20/x
  3. Step 3: Cross multiply
    203,418.84x = 280,710.26 × 112,776.20
  4. Step 4: Simplify right side
    203,418.84x = 31,657,435,931.95
  5. Step 5: Solve for x
    x = 31,657,435,931.95/203,418.84
  6. Step 6: Final answer
    x = 155,626.86

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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.