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Finding the Fourth Proportional to 140,308, 193,688.78 and 89,390.56

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Solution

The fourth proportional to 140,308, 193,688.78 and 89,390.56 is: 123,399.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,308 : 193,688.78 = 89,390.56 : x
  2. Step 2: Convert to fraction form
    140,308/193,688.78 = 89,390.56/x
  3. Step 3: Cross multiply
    140,308x = 193,688.78 × 89,390.56
  4. Step 4: Simplify right side
    140,308x = 17,313,948,509.92
  5. Step 5: Solve for x
    x = 17,313,948,509.92/140,308
  6. Step 6: Final answer
    x = 123,399.58

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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.