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Finding the Fourth Proportional to 243,202.04, 364,839.48 and 85,402.68

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Solution

The fourth proportional to 243,202.04, 364,839.48 and 85,402.68 is: 128,116.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,202.04 : 364,839.48 = 85,402.68 : x
  2. Step 2: Convert to fraction form
    243,202.04/364,839.48 = 85,402.68/x
  3. Step 3: Cross multiply
    243,202.04x = 364,839.48 × 85,402.68
  4. Step 4: Simplify right side
    243,202.04x = 31,158,269,361.81
  5. Step 5: Solve for x
    x = 31,158,269,361.81/243,202.04
  6. Step 6: Final answer
    x = 128,116.81

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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.