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Finding the Fourth Proportional to 242,984.16, 364,479.48 and 85,217.22

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Solution

The fourth proportional to 242,984.16, 364,479.48 and 85,217.22 is: 127,826.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,984.16 : 364,479.48 = 85,217.22 : x
  2. Step 2: Convert to fraction form
    242,984.16/364,479.48 = 85,217.22/x
  3. Step 3: Cross multiply
    242,984.16x = 364,479.48 × 85,217.22
  4. Step 4: Simplify right side
    242,984.16x = 31,059,928,032.65
  5. Step 5: Solve for x
    x = 31,059,928,032.65/242,984.16
  6. Step 6: Final answer
    x = 127,826.97

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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.