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Finding the Fourth Proportional to 145,066.81, 217,662.14 and 81,934.33

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Solution

The fourth proportional to 145,066.81, 217,662.14 and 81,934.33 is: 122,936.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,066.81 : 217,662.14 = 81,934.33 : x
  2. Step 2: Convert to fraction form
    145,066.81/217,662.14 = 81,934.33/x
  3. Step 3: Cross multiply
    145,066.81x = 217,662.14 × 81,934.33
  4. Step 4: Simplify right side
    145,066.81x = 17,834,001,197.59
  5. Step 5: Solve for x
    x = 17,834,001,197.59/145,066.81
  6. Step 6: Final answer
    x = 122,936.47

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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.