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Finding the Fourth Proportional to 145,046.60, 217,569.56 and 81,838

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Solution

The fourth proportional to 145,046.60, 217,569.56 and 81,838 is: 122,756.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,046.60 : 217,569.56 = 81,838 : x
  2. Step 2: Convert to fraction form
    145,046.60/217,569.56 = 81,838/x
  3. Step 3: Cross multiply
    145,046.60x = 217,569.56 × 81,838
  4. Step 4: Simplify right side
    145,046.60x = 17,805,457,651.28
  5. Step 5: Solve for x
    x = 17,805,457,651.28/145,046.60
  6. Step 6: Final answer
    x = 122,756.81

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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.