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Finding the Fourth Proportional to 145,882.60, 217,289.69 and 139,057

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Solution

The fourth proportional to 145,882.60, 217,289.69 and 139,057 is: 207,123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,882.60 : 217,289.69 = 139,057 : x
  2. Step 2: Convert to fraction form
    145,882.60/217,289.69 = 139,057/x
  3. Step 3: Cross multiply
    145,882.60x = 217,289.69 × 139,057
  4. Step 4: Simplify right side
    145,882.60x = 30,215,652,422.33
  5. Step 5: Solve for x
    x = 30,215,652,422.33/145,882.60
  6. Step 6: Final answer
    x = 207,123.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.