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Finding the Fourth Proportional to 157,204.22, 216,940.50 and 85,584.08

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Solution

The fourth proportional to 157,204.22, 216,940.50 and 85,584.08 is: 118,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,204.22 : 216,940.50 = 85,584.08 : x
  2. Step 2: Convert to fraction form
    157,204.22/216,940.50 = 85,584.08/x
  3. Step 3: Cross multiply
    157,204.22x = 216,940.50 × 85,584.08
  4. Step 4: Simplify right side
    157,204.22x = 18,566,653,649.59
  5. Step 5: Solve for x
    x = 18,566,653,649.59/157,204.22
  6. Step 6: Final answer
    x = 118,105.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.