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Finding the Fourth Proportional to 203,396.34, 280,686.95 and 112,752.08

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Solution

The fourth proportional to 203,396.34, 280,686.95 and 112,752.08 is: 155,597.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,396.34 : 280,686.95 = 112,752.08 : x
  2. Step 2: Convert to fraction form
    203,396.34/280,686.95 = 112,752.08/x
  3. Step 3: Cross multiply
    203,396.34x = 280,686.95 × 112,752.08
  4. Step 4: Simplify right side
    203,396.34x = 31,648,035,474.16
  5. Step 5: Solve for x
    x = 31,648,035,474.16/203,396.34
  6. Step 6: Final answer
    x = 155,597.86

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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.