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Finding the Fourth Proportional to 211,102.92, 316,581.30 and 61,302.60

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Solution

The fourth proportional to 211,102.92, 316,581.30 and 61,302.60 is: 91,932.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,102.92 : 316,581.30 = 61,302.60 : x
  2. Step 2: Convert to fraction form
    211,102.92/316,581.30 = 61,302.60/x
  3. Step 3: Cross multiply
    211,102.92x = 316,581.30 × 61,302.60
  4. Step 4: Simplify right side
    211,102.92x = 19,407,256,801.38
  5. Step 5: Solve for x
    x = 19,407,256,801.38/211,102.92
  6. Step 6: Final answer
    x = 91,932.68

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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.