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Finding the Fourth Proportional to 208,707.66, 312,821.49 and 90,259.98

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Solution

The fourth proportional to 208,707.66, 312,821.49 and 90,259.98 is: 135,286.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,707.66 : 312,821.49 = 90,259.98 : x
  2. Step 2: Convert to fraction form
    208,707.66/312,821.49 = 90,259.98/x
  3. Step 3: Cross multiply
    208,707.66x = 312,821.49 × 90,259.98
  4. Step 4: Simplify right side
    208,707.66x = 28,235,261,430.97
  5. Step 5: Solve for x
    x = 28,235,261,430.97/208,707.66
  6. Step 6: Final answer
    x = 135,286.18

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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.