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Finding the Fourth Proportional to 281,319.63, 421,835.91 and 91,658.04

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Solution

The fourth proportional to 281,319.63, 421,835.91 and 91,658.04 is: 137,440.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,319.63 : 421,835.91 = 91,658.04 : x
  2. Step 2: Convert to fraction form
    281,319.63/421,835.91 = 91,658.04/x
  3. Step 3: Cross multiply
    281,319.63x = 421,835.91 × 91,658.04
  4. Step 4: Simplify right side
    281,319.63x = 38,664,652,712.22
  5. Step 5: Solve for x
    x = 38,664,652,712.22/281,319.63
  6. Step 6: Final answer
    x = 137,440.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.