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Finding the Fourth Proportional to 243,384.16, 365,078.40 and 65,892.80

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Solution

The fourth proportional to 243,384.16, 365,078.40 and 65,892.80 is: 98,839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,384.16 : 365,078.40 = 65,892.80 : x
  2. Step 2: Convert to fraction form
    243,384.16/365,078.40 = 65,892.80/x
  3. Step 3: Cross multiply
    243,384.16x = 365,078.40 × 65,892.80
  4. Step 4: Simplify right side
    243,384.16x = 24,056,037,995.52
  5. Step 5: Solve for x
    x = 24,056,037,995.52/243,384.16
  6. Step 6: Final answer
    x = 98,839.78

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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.