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Finding the Fourth Proportional to 242,910, 364,365 and 76,698

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Solution

The fourth proportional to 242,910, 364,365 and 76,698 is: 115,047

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,910 : 364,365 = 76,698 : x
  2. Step 2: Convert to fraction form
    242,910/364,365 = 76,698/x
  3. Step 3: Cross multiply
    242,910x = 364,365 × 76,698
  4. Step 4: Simplify right side
    242,910x = 27,946,066,770
  5. Step 5: Solve for x
    x = 27,946,066,770/242,910
  6. Step 6: Final answer
    x = 115,047

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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.