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Finding the Fourth Proportional to 243,306.02, 364,978.20 and 85,569.86

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Solution

The fourth proportional to 243,306.02, 364,978.20 and 85,569.86 is: 128,361.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,306.02 : 364,978.20 = 85,569.86 : x
  2. Step 2: Convert to fraction form
    243,306.02/364,978.20 = 85,569.86/x
  3. Step 3: Cross multiply
    243,306.02x = 364,978.20 × 85,569.86
  4. Step 4: Simplify right side
    243,306.02x = 31,231,133,477.05
  5. Step 5: Solve for x
    x = 31,231,133,477.05/243,306.02
  6. Step 6: Final answer
    x = 128,361.53

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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.