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Finding the Fourth Proportional to 105,606, 145,802.52 and 67,945.68

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Solution

The fourth proportional to 105,606, 145,802.52 and 67,945.68 is: 93,807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,606 : 145,802.52 = 67,945.68 : x
  2. Step 2: Convert to fraction form
    105,606/145,802.52 = 67,945.68/x
  3. Step 3: Cross multiply
    105,606x = 145,802.52 × 67,945.68
  4. Step 4: Simplify right side
    105,606x = 9,906,651,367.11
  5. Step 5: Solve for x
    x = 9,906,651,367.11/105,606
  6. Step 6: Final answer
    x = 93,807.66

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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.