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Finding the Fourth Proportional to 243,380, 365,070 and 77,168

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Solution

The fourth proportional to 243,380, 365,070 and 77,168 is: 115,752

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,380 : 365,070 = 77,168 : x
  2. Step 2: Convert to fraction form
    243,380/365,070 = 77,168/x
  3. Step 3: Cross multiply
    243,380x = 365,070 × 77,168
  4. Step 4: Simplify right side
    243,380x = 28,171,721,760
  5. Step 5: Solve for x
    x = 28,171,721,760/243,380
  6. Step 6: Final answer
    x = 115,752

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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.