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Finding the Fourth Proportional to 279,802.72, 419,613.36 and 92,764

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Solution

The fourth proportional to 279,802.72, 419,613.36 and 92,764 is: 139,115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,802.72 : 419,613.36 = 92,764 : x
  2. Step 2: Convert to fraction form
    279,802.72/419,613.36 = 92,764/x
  3. Step 3: Cross multiply
    279,802.72x = 419,613.36 × 92,764
  4. Step 4: Simplify right side
    279,802.72x = 38,925,013,727.04
  5. Step 5: Solve for x
    x = 38,925,013,727.04/279,802.72
  6. Step 6: Final answer
    x = 139,115.92

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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.