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Finding the Fourth Proportional to 153,975.20, 231,065.20 and 87,415.20

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Solution

The fourth proportional to 153,975.20, 231,065.20 and 87,415.20 is: 131,180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,975.20 : 231,065.20 = 87,415.20 : x
  2. Step 2: Convert to fraction form
    153,975.20/231,065.20 = 87,415.20/x
  3. Step 3: Cross multiply
    153,975.20x = 231,065.20 × 87,415.20
  4. Step 4: Simplify right side
    153,975.20x = 20,198,610,671.04
  5. Step 5: Solve for x
    x = 20,198,610,671.04/153,975.20
  6. Step 6: Final answer
    x = 131,180.93

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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.