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Finding the Fourth Proportional to 153,679.46, 212,076.74 and 85,697.24

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Solution

The fourth proportional to 153,679.46, 212,076.74 and 85,697.24 is: 118,261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,679.46 : 212,076.74 = 85,697.24 : x
  2. Step 2: Convert to fraction form
    153,679.46/212,076.74 = 85,697.24/x
  3. Step 3: Cross multiply
    153,679.46x = 212,076.74 × 85,697.24
  4. Step 4: Simplify right side
    153,679.46x = 18,174,391,286.20
  5. Step 5: Solve for x
    x = 18,174,391,286.20/153,679.46
  6. Step 6: Final answer
    x = 118,261.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.