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Finding the Fourth Proportional to 229,201.32, 343,803.72 and 87,008.28

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Solution

The fourth proportional to 229,201.32, 343,803.72 and 87,008.28 is: 130,513.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,201.32 : 343,803.72 = 87,008.28 : x
  2. Step 2: Convert to fraction form
    229,201.32/343,803.72 = 87,008.28/x
  3. Step 3: Cross multiply
    229,201.32x = 343,803.72 × 87,008.28
  4. Step 4: Simplify right side
    229,201.32x = 29,913,770,334.80
  5. Step 5: Solve for x
    x = 29,913,770,334.80/229,201.32
  6. Step 6: Final answer
    x = 130,513.08

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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.