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Finding the Fourth Proportional to 145,636.82, 218,540.14 and 61,391.82

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Solution

The fourth proportional to 145,636.82, 218,540.14 and 61,391.82 is: 92,123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,636.82 : 218,540.14 = 61,391.82 : x
  2. Step 2: Convert to fraction form
    145,636.82/218,540.14 = 61,391.82/x
  3. Step 3: Cross multiply
    145,636.82x = 218,540.14 × 61,391.82
  4. Step 4: Simplify right side
    145,636.82x = 13,416,576,784.18
  5. Step 5: Solve for x
    x = 13,416,576,784.18/145,636.82
  6. Step 6: Final answer
    x = 92,123.53

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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.