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Finding the Fourth Proportional to 118,887.81, 163,789.47 and 83,021.01

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Solution

The fourth proportional to 118,887.81, 163,789.47 and 83,021.01 is: 114,376.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,887.81 : 163,789.47 = 83,021.01 : x
  2. Step 2: Convert to fraction form
    118,887.81/163,789.47 = 83,021.01/x
  3. Step 3: Cross multiply
    118,887.81x = 163,789.47 × 83,021.01
  4. Step 4: Simplify right side
    118,887.81x = 13,597,967,226.76
  5. Step 5: Solve for x
    x = 13,597,967,226.76/118,887.81
  6. Step 6: Final answer
    x = 114,376.46

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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.