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Finding the Fourth Proportional to 152,784, 210,841.92 and 85,714.56

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Solution

The fourth proportional to 152,784, 210,841.92 and 85,714.56 is: 118,286.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,784 : 210,841.92 = 85,714.56 : x
  2. Step 2: Convert to fraction form
    152,784/210,841.92 = 85,714.56/x
  3. Step 3: Cross multiply
    152,784x = 210,841.92 × 85,714.56
  4. Step 4: Simplify right side
    152,784x = 18,072,222,402.36
  5. Step 5: Solve for x
    x = 18,072,222,402.36/152,784
  6. Step 6: Final answer
    x = 118,286.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.