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Finding the Fourth Proportional to 100,154.57, 138,214.95 and 54,831.80

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Solution

The fourth proportional to 100,154.57, 138,214.95 and 54,831.80 is: 75,668.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,154.57 : 138,214.95 = 54,831.80 : x
  2. Step 2: Convert to fraction form
    100,154.57/138,214.95 = 54,831.80/x
  3. Step 3: Cross multiply
    100,154.57x = 138,214.95 × 54,831.80
  4. Step 4: Simplify right side
    100,154.57x = 7,578,573,804.34
  5. Step 5: Solve for x
    x = 7,578,573,804.34/100,154.57
  6. Step 6: Final answer
    x = 75,668.78

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1.5x scale

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.