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Finding the Fourth Proportional to 157,703.22, 217,633.50 and 86,089.50

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Solution

The fourth proportional to 157,703.22, 217,633.50 and 86,089.50 is: 118,805.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,703.22 : 217,633.50 = 86,089.50 : x
  2. Step 2: Convert to fraction form
    157,703.22/217,633.50 = 86,089.50/x
  3. Step 3: Cross multiply
    157,703.22x = 217,633.50 × 86,089.50
  4. Step 4: Simplify right side
    157,703.22x = 18,735,959,198.25
  5. Step 5: Solve for x
    x = 18,735,959,198.25/157,703.22
  6. Step 6: Final answer
    x = 118,805.18

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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.