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Finding the Fourth Proportional to 243,420, 365,130 and 77,208

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Solution

The fourth proportional to 243,420, 365,130 and 77,208 is: 115,812

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,420 : 365,130 = 77,208 : x
  2. Step 2: Convert to fraction form
    243,420/365,130 = 77,208/x
  3. Step 3: Cross multiply
    243,420x = 365,130 × 77,208
  4. Step 4: Simplify right side
    243,420x = 28,190,957,040
  5. Step 5: Solve for x
    x = 28,190,957,040/243,420
  6. Step 6: Final answer
    x = 115,812

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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.