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Finding the Fourth Proportional to 208,457.25, 312,682.57 and 66,300.47

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Solution

The fourth proportional to 208,457.25, 312,682.57 and 66,300.47 is: 99,449.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,457.25 : 312,682.57 = 66,300.47 : x
  2. Step 2: Convert to fraction form
    208,457.25/312,682.57 = 66,300.47/x
  3. Step 3: Cross multiply
    208,457.25x = 312,682.57 × 66,300.47
  4. Step 4: Simplify right side
    208,457.25x = 20,731,000,795.20
  5. Step 5: Solve for x
    x = 20,731,000,795.20/208,457.25
  6. Step 6: Final answer
    x = 99,449.65

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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.