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Finding the Fourth Proportional to 100,838.40, 139,348.80 and 75,644.16

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Solution

The fourth proportional to 100,838.40, 139,348.80 and 75,644.16 is: 104,532.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,838.40 : 139,348.80 = 75,644.16 : x
  2. Step 2: Convert to fraction form
    100,838.40/139,348.80 = 75,644.16/x
  3. Step 3: Cross multiply
    100,838.40x = 139,348.80 × 75,644.16
  4. Step 4: Simplify right side
    100,838.40x = 10,540,922,923.01
  5. Step 5: Solve for x
    x = 10,540,922,923.01/100,838.40
  6. Step 6: Final answer
    x = 104,532.83

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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.