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Finding the Fourth Proportional to 118,642.14, 177,978.87 and 43,814.88

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Solution

The fourth proportional to 118,642.14, 177,978.87 and 43,814.88 is: 65,728.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,642.14 : 177,978.87 = 43,814.88 : x
  2. Step 2: Convert to fraction form
    118,642.14/177,978.87 = 43,814.88/x
  3. Step 3: Cross multiply
    118,642.14x = 177,978.87 × 43,814.88
  4. Step 4: Simplify right side
    118,642.14x = 7,798,122,831.59
  5. Step 5: Solve for x
    x = 7,798,122,831.59/118,642.14
  6. Step 6: Final answer
    x = 65,728.10

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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.