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Finding the Fourth Proportional to 157,290, 217,059.04 and 85,669.80

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Solution

The fourth proportional to 157,290, 217,059.04 and 85,669.80 is: 118,223.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,290 : 217,059.04 = 85,669.80 : x
  2. Step 2: Convert to fraction form
    157,290/217,059.04 = 85,669.80/x
  3. Step 3: Cross multiply
    157,290x = 217,059.04 × 85,669.80
  4. Step 4: Simplify right side
    157,290x = 18,595,404,544.99
  5. Step 5: Solve for x
    x = 18,595,404,544.99/157,290
  6. Step 6: Final answer
    x = 118,223.69

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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.