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Finding the Fourth Proportional to 121,785.92, 182,674.78 and 42,898.09

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Solution

The fourth proportional to 121,785.92, 182,674.78 and 42,898.09 is: 64,345.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,785.92 : 182,674.78 = 42,898.09 : x
  2. Step 2: Convert to fraction form
    121,785.92/182,674.78 = 42,898.09/x
  3. Step 3: Cross multiply
    121,785.92x = 182,674.78 × 42,898.09
  4. Step 4: Simplify right side
    121,785.92x = 7,836,399,153.17
  5. Step 5: Solve for x
    x = 7,836,399,153.17/121,785.92
  6. Step 6: Final answer
    x = 64,345.69

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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.