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Finding the Fourth Proportional to 210,829.68, 316,249.62 and 82,740.48

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Solution

The fourth proportional to 210,829.68, 316,249.62 and 82,740.48 is: 124,112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,829.68 : 316,249.62 = 82,740.48 : x
  2. Step 2: Convert to fraction form
    210,829.68/316,249.62 = 82,740.48/x
  3. Step 3: Cross multiply
    210,829.68x = 316,249.62 × 82,740.48
  4. Step 4: Simplify right side
    210,829.68x = 26,166,645,358.62
  5. Step 5: Solve for x
    x = 26,166,645,358.62/210,829.68
  6. Step 6: Final answer
    x = 124,112.72

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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.