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Finding the Fourth Proportional to 243,018.84, 364,531.14 and 85,251.72

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Solution

The fourth proportional to 243,018.84, 364,531.14 and 85,251.72 is: 127,878.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,018.84 : 364,531.14 = 85,251.72 : x
  2. Step 2: Convert to fraction form
    243,018.84/364,531.14 = 85,251.72/x
  3. Step 3: Cross multiply
    243,018.84x = 364,531.14 × 85,251.72
  4. Step 4: Simplify right side
    243,018.84x = 31,076,906,678.56
  5. Step 5: Solve for x
    x = 31,076,906,678.56/243,018.84
  6. Step 6: Final answer
    x = 127,878.59

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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.