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Finding the Fourth Proportional to 97,059.76, 145,613.81 and 77,144.39

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Solution

The fourth proportional to 97,059.76, 145,613.81 and 77,144.39 is: 115,735.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,059.76 : 145,613.81 = 77,144.39 : x
  2. Step 2: Convert to fraction form
    97,059.76/145,613.81 = 77,144.39/x
  3. Step 3: Cross multiply
    97,059.76x = 145,613.81 × 77,144.39
  4. Step 4: Simplify right side
    97,059.76x = 11,233,287,434.23
  5. Step 5: Solve for x
    x = 11,233,287,434.23/97,059.76
  6. Step 6: Final answer
    x = 115,735.79

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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.