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Finding the Fourth Proportional to 208,718.88, 313,126.08 and 90,409.92

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Solution

The fourth proportional to 208,718.88, 313,126.08 and 90,409.92 is: 135,635.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,718.88 : 313,126.08 = 90,409.92 : x
  2. Step 2: Convert to fraction form
    208,718.88/313,126.08 = 90,409.92/x
  3. Step 3: Cross multiply
    208,718.88x = 313,126.08 × 90,409.92
  4. Step 4: Simplify right side
    208,718.88x = 28,309,703,842.71
  5. Step 5: Solve for x
    x = 28,309,703,842.71/208,718.88
  6. Step 6: Final answer
    x = 135,635.57

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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.