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Finding the Fourth Proportional to 242,703, 364,054.50 and 76,491

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Solution

The fourth proportional to 242,703, 364,054.50 and 76,491 is: 114,736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,703 : 364,054.50 = 76,491 : x
  2. Step 2: Convert to fraction form
    242,703/364,054.50 = 76,491/x
  3. Step 3: Cross multiply
    242,703x = 364,054.50 × 76,491
  4. Step 4: Simplify right side
    242,703x = 27,846,892,759.50
  5. Step 5: Solve for x
    x = 27,846,892,759.50/242,703
  6. Step 6: Final answer
    x = 114,736.50

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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.