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Finding the Fourth Proportional to 136,189.82, 204,285.63 and 47,445

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Solution

The fourth proportional to 136,189.82, 204,285.63 and 47,445 is: 71,167.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,189.82 : 204,285.63 = 47,445 : x
  2. Step 2: Convert to fraction form
    136,189.82/204,285.63 = 47,445/x
  3. Step 3: Cross multiply
    136,189.82x = 204,285.63 × 47,445
  4. Step 4: Simplify right side
    136,189.82x = 9,692,331,715.35
  5. Step 5: Solve for x
    x = 9,692,331,715.35/136,189.82
  6. Step 6: Final answer
    x = 71,167.81

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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.