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Finding the Fourth Proportional to 97,147.60, 145,735.76 and 49,789.49

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Solution

The fourth proportional to 97,147.60, 145,735.76 and 49,789.49 is: 74,691.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,147.60 : 145,735.76 = 49,789.49 : x
  2. Step 2: Convert to fraction form
    97,147.60/145,735.76 = 49,789.49/x
  3. Step 3: Cross multiply
    97,147.60x = 145,735.76 × 49,789.49
  4. Step 4: Simplify right side
    97,147.60x = 7,256,108,280.89
  5. Step 5: Solve for x
    x = 7,256,108,280.89/97,147.60
  6. Step 6: Final answer
    x = 74,691.58

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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.