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Finding the Fourth Proportional to 67,831.70, 93,613.66 and 39,536.78

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Solution

The fourth proportional to 67,831.70, 93,613.66 and 39,536.78 is: 54,564.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,831.70 : 93,613.66 = 39,536.78 : x
  2. Step 2: Convert to fraction form
    67,831.70/93,613.66 = 39,536.78/x
  3. Step 3: Cross multiply
    67,831.70x = 93,613.66 × 39,536.78
  4. Step 4: Simplify right side
    67,831.70x = 3,701,182,113.50
  5. Step 5: Solve for x
    x = 3,701,182,113.50/67,831.70
  6. Step 6: Final answer
    x = 54,564.20

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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.