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Finding the Fourth Proportional to 157,137.56, 216,845.68 and 85,516.05

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Solution

The fourth proportional to 157,137.56, 216,845.68 and 85,516.05 is: 118,009.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,137.56 : 216,845.68 = 85,516.05 : x
  2. Step 2: Convert to fraction form
    157,137.56/216,845.68 = 85,516.05/x
  3. Step 3: Cross multiply
    157,137.56x = 216,845.68 × 85,516.05
  4. Step 4: Simplify right side
    157,137.56x = 18,543,785,799.37
  5. Step 5: Solve for x
    x = 18,543,785,799.37/157,137.56
  6. Step 6: Final answer
    x = 118,009.89

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1.5x scale

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.