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Finding the Fourth Proportional to 153,076.50, 229,403.34 and 85,644

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Solution

The fourth proportional to 153,076.50, 229,403.34 and 85,644 is: 128,347.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,076.50 : 229,403.34 = 85,644 : x
  2. Step 2: Convert to fraction form
    153,076.50/229,403.34 = 85,644/x
  3. Step 3: Cross multiply
    153,076.50x = 229,403.34 × 85,644
  4. Step 4: Simplify right side
    153,076.50x = 19,647,019,650.96
  5. Step 5: Solve for x
    x = 19,647,019,650.96/153,076.50
  6. Step 6: Final answer
    x = 128,347.72

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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.