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Finding the Fourth Proportional to 211,168.14, 316,856.29 and 98,855.97

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Solution

The fourth proportional to 211,168.14, 316,856.29 and 98,855.97 is: 148,332.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,168.14 : 316,856.29 = 98,855.97 : x
  2. Step 2: Convert to fraction form
    211,168.14/316,856.29 = 98,855.97/x
  3. Step 3: Cross multiply
    211,168.14x = 316,856.29 × 98,855.97
  4. Step 4: Simplify right side
    211,168.14x = 31,323,135,898.55
  5. Step 5: Solve for x
    x = 31,323,135,898.55/211,168.14
  6. Step 6: Final answer
    x = 148,332.68

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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.