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Finding the Fourth Proportional to 208,216.40, 312,470.40 and 89,972.60

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Solution

The fourth proportional to 208,216.40, 312,470.40 and 89,972.60 is: 135,021.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,216.40 : 312,470.40 = 89,972.60 : x
  2. Step 2: Convert to fraction form
    208,216.40/312,470.40 = 89,972.60/x
  3. Step 3: Cross multiply
    208,216.40x = 312,470.40 × 89,972.60
  4. Step 4: Simplify right side
    208,216.40x = 28,113,774,311.04
  5. Step 5: Solve for x
    x = 28,113,774,311.04/208,216.40
  6. Step 6: Final answer
    x = 135,021.90

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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.