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Finding the Fourth Proportional to 105,668.28, 145,869.12 and 67,477.86

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Solution

The fourth proportional to 105,668.28, 145,869.12 and 67,477.86 is: 93,149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,668.28 : 145,869.12 = 67,477.86 : x
  2. Step 2: Convert to fraction form
    105,668.28/145,869.12 = 67,477.86/x
  3. Step 3: Cross multiply
    105,668.28x = 145,869.12 × 67,477.86
  4. Step 4: Simplify right side
    105,668.28x = 9,842,936,057.68
  5. Step 5: Solve for x
    x = 9,842,936,057.68/105,668.28
  6. Step 6: Final answer
    x = 93,149.39

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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.