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Finding the Fourth Proportional to 157,205.72, 216,942.57 and 85,585.59

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Solution

The fourth proportional to 157,205.72, 216,942.57 and 85,585.59 is: 118,107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,205.72 : 216,942.57 = 85,585.59 : x
  2. Step 2: Convert to fraction form
    157,205.72/216,942.57 = 85,585.59/x
  3. Step 3: Cross multiply
    157,205.72x = 216,942.57 × 85,585.59
  4. Step 4: Simplify right side
    157,205.72x = 18,567,157,849.57
  5. Step 5: Solve for x
    x = 18,567,157,849.57/157,205.72
  6. Step 6: Final answer
    x = 118,107.40

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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.