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Finding the Fourth Proportional to 242,963.84, 364,449.02 and 85,196.90

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Solution

The fourth proportional to 242,963.84, 364,449.02 and 85,196.90 is: 127,796.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,963.84 : 364,449.02 = 85,196.90 : x
  2. Step 2: Convert to fraction form
    242,963.84/364,449.02 = 85,196.90/x
  3. Step 3: Cross multiply
    242,963.84x = 364,449.02 × 85,196.90
  4. Step 4: Simplify right side
    242,963.84x = 31,049,926,712.04
  5. Step 5: Solve for x
    x = 31,049,926,712.04/242,963.84
  6. Step 6: Final answer
    x = 127,796.49

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1.5x scale

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.