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Finding the Fourth Proportional to 66,829.68, 100,246.95 and 22,457.88

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Solution

The fourth proportional to 66,829.68, 100,246.95 and 22,457.88 is: 33,687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,829.68 : 100,246.95 = 22,457.88 : x
  2. Step 2: Convert to fraction form
    66,829.68/100,246.95 = 22,457.88/x
  3. Step 3: Cross multiply
    66,829.68x = 100,246.95 × 22,457.88
  4. Step 4: Simplify right side
    66,829.68x = 2,251,333,973.47
  5. Step 5: Solve for x
    x = 2,251,333,973.47/66,829.68
  6. Step 6: Final answer
    x = 33,687.64

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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.