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Finding the Fourth Proportional to 76,102.32, 114,186.24 and 29,388

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Solution

The fourth proportional to 76,102.32, 114,186.24 and 29,388 is: 44,094.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,102.32 : 114,186.24 = 29,388 : x
  2. Step 2: Convert to fraction form
    76,102.32/114,186.24 = 29,388/x
  3. Step 3: Cross multiply
    76,102.32x = 114,186.24 × 29,388
  4. Step 4: Simplify right side
    76,102.32x = 3,355,705,221.12
  5. Step 5: Solve for x
    x = 3,355,705,221.12/76,102.32
  6. Step 6: Final answer
    x = 44,094.65

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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.