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Finding the Fourth Proportional to 242,872.32, 364,325.76 and 76,656

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Solution

The fourth proportional to 242,872.32, 364,325.76 and 76,656 is: 114,989.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,872.32 : 364,325.76 = 76,656 : x
  2. Step 2: Convert to fraction form
    242,872.32/364,325.76 = 76,656/x
  3. Step 3: Cross multiply
    242,872.32x = 364,325.76 × 76,656
  4. Step 4: Simplify right side
    242,872.32x = 27,927,755,458.56
  5. Step 5: Solve for x
    x = 27,927,755,458.56/242,872.32
  6. Step 6: Final answer
    x = 114,989.45

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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.