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Finding the Fourth Proportional to 211,240.68, 316,845.63 and 78,058.86

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Solution

The fourth proportional to 211,240.68, 316,845.63 and 78,058.86 is: 117,082.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,240.68 : 316,845.63 = 78,058.86 : x
  2. Step 2: Convert to fraction form
    211,240.68/316,845.63 = 78,058.86/x
  3. Step 3: Cross multiply
    211,240.68x = 316,845.63 × 78,058.86
  4. Step 4: Simplify right side
    211,240.68x = 24,732,608,673.78
  5. Step 5: Solve for x
    x = 24,732,608,673.78/211,240.68
  6. Step 6: Final answer
    x = 117,082.60

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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.