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Finding the Fourth Proportional to 157,196.22, 235,714.23 and 77,239.50

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Solution

The fourth proportional to 157,196.22, 235,714.23 and 77,239.50 is: 115,819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,196.22 : 235,714.23 = 77,239.50 : x
  2. Step 2: Convert to fraction form
    157,196.22/235,714.23 = 77,239.50/x
  3. Step 3: Cross multiply
    157,196.22x = 235,714.23 × 77,239.50
  4. Step 4: Simplify right side
    157,196.22x = 18,206,449,268.09
  5. Step 5: Solve for x
    x = 18,206,449,268.09/157,196.22
  6. Step 6: Final answer
    x = 115,819.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.