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Finding the Fourth Proportional to 211,194.43, 316,822.47 and 61,415.30

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Solution

The fourth proportional to 211,194.43, 316,822.47 and 61,415.30 is: 92,131.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,194.43 : 316,822.47 = 61,415.30 : x
  2. Step 2: Convert to fraction form
    211,194.43/316,822.47 = 61,415.30/x
  3. Step 3: Cross multiply
    211,194.43x = 316,822.47 × 61,415.30
  4. Step 4: Simplify right side
    211,194.43x = 19,457,747,041.79
  5. Step 5: Solve for x
    x = 19,457,747,041.79/211,194.43
  6. Step 6: Final answer
    x = 92,131.91

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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.