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Finding the Fourth Proportional to 208,034.16, 312,064.20 and 83,358.96

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Solution

The fourth proportional to 208,034.16, 312,064.20 and 83,358.96 is: 125,043.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,034.16 : 312,064.20 = 83,358.96 : x
  2. Step 2: Convert to fraction form
    208,034.16/312,064.20 = 83,358.96/x
  3. Step 3: Cross multiply
    208,034.16x = 312,064.20 × 83,358.96
  4. Step 4: Simplify right side
    208,034.16x = 26,013,347,165.23
  5. Step 5: Solve for x
    x = 26,013,347,165.23/208,034.16
  6. Step 6: Final answer
    x = 125,043.63

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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.