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Finding the Fourth Proportional to 243,278.19, 364,877.64 and 85,469.72

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Solution

The fourth proportional to 243,278.19, 364,877.64 and 85,469.72 is: 128,190.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,278.19 : 364,877.64 = 85,469.72 : x
  2. Step 2: Convert to fraction form
    243,278.19/364,877.64 = 85,469.72/x
  3. Step 3: Cross multiply
    243,278.19x = 364,877.64 × 85,469.72
  4. Step 4: Simplify right side
    243,278.19x = 31,185,987,900.67
  5. Step 5: Solve for x
    x = 31,185,987,900.67/243,278.19
  6. Step 6: Final answer
    x = 128,190.64

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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.