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Finding the Fourth Proportional to 203,506, 280,838.28 and 112,875.84

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Solution

The fourth proportional to 203,506, 280,838.28 and 112,875.84 is: 155,768.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,506 : 280,838.28 = 112,875.84 : x
  2. Step 2: Convert to fraction form
    203,506/280,838.28 = 112,875.84/x
  3. Step 3: Cross multiply
    203,506x = 280,838.28 × 112,875.84
  4. Step 4: Simplify right side
    203,506x = 31,699,856,759.16
  5. Step 5: Solve for x
    x = 31,699,856,759.16/203,506
  6. Step 6: Final answer
    x = 155,768.66

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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.