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Finding the Fourth Proportional to 198,457.74, 297,685.53 and 72,097.74

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Solution

The fourth proportional to 198,457.74, 297,685.53 and 72,097.74 is: 108,146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,457.74 : 297,685.53 = 72,097.74 : x
  2. Step 2: Convert to fraction form
    198,457.74/297,685.53 = 72,097.74/x
  3. Step 3: Cross multiply
    198,457.74x = 297,685.53 × 72,097.74
  4. Step 4: Simplify right side
    198,457.74x = 21,462,453,943.70
  5. Step 5: Solve for x
    x = 21,462,453,943.70/198,457.74
  6. Step 6: Final answer
    x = 108,146.22

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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.