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Finding the Fourth Proportional to 208,106.60, 312,128.22 and 67,865

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Solution

The fourth proportional to 208,106.60, 312,128.22 and 67,865 is: 101,787.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,106.60 : 312,128.22 = 67,865 : x
  2. Step 2: Convert to fraction form
    208,106.60/312,128.22 = 67,865/x
  3. Step 3: Cross multiply
    208,106.60x = 312,128.22 × 67,865
  4. Step 4: Simplify right side
    208,106.60x = 21,182,581,650.30
  5. Step 5: Solve for x
    x = 21,182,581,650.30/208,106.60
  6. Step 6: Final answer
    x = 101,787.17

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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.