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Finding the Fourth Proportional to 157,782.26, 217,739.22 and 101,193.50

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Solution

The fourth proportional to 157,782.26, 217,739.22 and 101,193.50 is: 139,646.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,782.26 : 217,739.22 = 101,193.50 : x
  2. Step 2: Convert to fraction form
    157,782.26/217,739.22 = 101,193.50/x
  3. Step 3: Cross multiply
    157,782.26x = 217,739.22 × 101,193.50
  4. Step 4: Simplify right side
    157,782.26x = 22,033,793,759.07
  5. Step 5: Solve for x
    x = 22,033,793,759.07/157,782.26
  6. Step 6: Final answer
    x = 139,646.84

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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.