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Finding the Fourth Proportional to 208,086.20, 312,129.30 and 113,607.80

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Solution

The fourth proportional to 208,086.20, 312,129.30 and 113,607.80 is: 170,411.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,086.20 : 312,129.30 = 113,607.80 : x
  2. Step 2: Convert to fraction form
    208,086.20/312,129.30 = 113,607.80/x
  3. Step 3: Cross multiply
    208,086.20x = 312,129.30 × 113,607.80
  4. Step 4: Simplify right side
    208,086.20x = 35,460,323,088.54
  5. Step 5: Solve for x
    x = 35,460,323,088.54/208,086.20
  6. Step 6: Final answer
    x = 170,411.70

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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.