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Finding the Fourth Proportional to 185,920.16, 278,913.72 and 67,757.36

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Solution

The fourth proportional to 185,920.16, 278,913.72 and 67,757.36 is: 101,648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,920.16 : 278,913.72 = 67,757.36 : x
  2. Step 2: Convert to fraction form
    185,920.16/278,913.72 = 67,757.36/x
  3. Step 3: Cross multiply
    185,920.16x = 278,913.72 × 67,757.36
  4. Step 4: Simplify right side
    185,920.16x = 18,898,457,334.98
  5. Step 5: Solve for x
    x = 18,898,457,334.98/185,920.16
  6. Step 6: Final answer
    x = 101,648.24

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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.