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Finding the Fourth Proportional to 139,221.99, 208,783.17 and 54,978.75

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Solution

The fourth proportional to 139,221.99, 208,783.17 and 54,978.75 is: 82,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,221.99 : 208,783.17 = 54,978.75 : x
  2. Step 2: Convert to fraction form
    139,221.99/208,783.17 = 54,978.75/x
  3. Step 3: Cross multiply
    139,221.99x = 208,783.17 × 54,978.75
  4. Step 4: Simplify right side
    139,221.99x = 11,478,637,707.64
  5. Step 5: Solve for x
    x = 11,478,637,707.64/139,221.99
  6. Step 6: Final answer
    x = 82,448.45

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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.