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Finding the Fourth Proportional to 153,811.20, 230,716.80 and 147,906.30

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Solution

The fourth proportional to 153,811.20, 230,716.80 and 147,906.30 is: 221,859.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,811.20 : 230,716.80 = 147,906.30 : x
  2. Step 2: Convert to fraction form
    153,811.20/230,716.80 = 147,906.30/x
  3. Step 3: Cross multiply
    153,811.20x = 230,716.80 × 147,906.30
  4. Step 4: Simplify right side
    153,811.20x = 34,124,468,235.84
  5. Step 5: Solve for x
    x = 34,124,468,235.84/153,811.20
  6. Step 6: Final answer
    x = 221,859.45

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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.