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Finding the Fourth Proportional to 129,901.60, 194,852.40 and 103,463.20

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Solution

The fourth proportional to 129,901.60, 194,852.40 and 103,463.20 is: 155,194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,901.60 : 194,852.40 = 103,463.20 : x
  2. Step 2: Convert to fraction form
    129,901.60/194,852.40 = 103,463.20/x
  3. Step 3: Cross multiply
    129,901.60x = 194,852.40 × 103,463.20
  4. Step 4: Simplify right side
    129,901.60x = 20,160,052,831.68
  5. Step 5: Solve for x
    x = 20,160,052,831.68/129,901.60
  6. Step 6: Final answer
    x = 155,194.80

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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.