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Finding the Fourth Proportional to 157,183.64, 216,913.44 and 85,564.19

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Solution

The fourth proportional to 157,183.64, 216,913.44 and 85,564.19 is: 118,078.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,183.64 : 216,913.44 = 85,564.19 : x
  2. Step 2: Convert to fraction form
    157,183.64/216,913.44 = 85,564.19/x
  3. Step 3: Cross multiply
    157,183.64x = 216,913.44 × 85,564.19
  4. Step 4: Simplify right side
    157,183.64x = 18,560,023,336.00
  5. Step 5: Solve for x
    x = 18,560,023,336.00/157,183.64
  6. Step 6: Final answer
    x = 118,078.60

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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.