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Finding the Fourth Proportional to 157,182.63, 216,914.30 and 85,564.89

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Solution

The fourth proportional to 157,182.63, 216,914.30 and 85,564.89 is: 118,080.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,182.63 : 216,914.30 = 85,564.89 : x
  2. Step 2: Convert to fraction form
    157,182.63/216,914.30 = 85,564.89/x
  3. Step 3: Cross multiply
    157,182.63x = 216,914.30 × 85,564.89
  4. Step 4: Simplify right side
    157,182.63x = 18,560,247,791.10
  5. Step 5: Solve for x
    x = 18,560,247,791.10/157,182.63
  6. Step 6: Final answer
    x = 118,080.78

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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.