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Finding the Fourth Proportional to 83,874.42, 115,727.68 and 61,225.74

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Solution

The fourth proportional to 83,874.42, 115,727.68 and 61,225.74 is: 84,477.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,874.42 : 115,727.68 = 61,225.74 : x
  2. Step 2: Convert to fraction form
    83,874.42/115,727.68 = 61,225.74/x
  3. Step 3: Cross multiply
    83,874.42x = 115,727.68 × 61,225.74
  4. Step 4: Simplify right side
    83,874.42x = 7,085,512,846.48
  5. Step 5: Solve for x
    x = 7,085,512,846.48/83,874.42
  6. Step 6: Final answer
    x = 84,477.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.