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Finding the Fourth Proportional to 139,313.52, 208,970.28 and 97,945.20

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Solution

The fourth proportional to 139,313.52, 208,970.28 and 97,945.20 is: 146,917.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,313.52 : 208,970.28 = 97,945.20 : x
  2. Step 2: Convert to fraction form
    139,313.52/208,970.28 = 97,945.20/x
  3. Step 3: Cross multiply
    139,313.52x = 208,970.28 × 97,945.20
  4. Step 4: Simplify right side
    139,313.52x = 20,467,635,868.66
  5. Step 5: Solve for x
    x = 20,467,635,868.66/139,313.52
  6. Step 6: Final answer
    x = 146,917.80

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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.