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Finding the Fourth Proportional to 52,207.82, 72,046.90 and 30,991.34

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Solution

The fourth proportional to 52,207.82, 72,046.90 and 30,991.34 is: 42,768.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,207.82 : 72,046.90 = 30,991.34 : x
  2. Step 2: Convert to fraction form
    52,207.82/72,046.90 = 30,991.34/x
  3. Step 3: Cross multiply
    52,207.82x = 72,046.90 × 30,991.34
  4. Step 4: Simplify right side
    52,207.82x = 2,232,829,973.85
  5. Step 5: Solve for x
    x = 2,232,829,973.85/52,207.82
  6. Step 6: Final answer
    x = 42,768.11

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1.5x scale

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.