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Finding the Fourth Proportional to 157,564.34, 217,439.46 and 85,945.90

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Solution

The fourth proportional to 157,564.34, 217,439.46 and 85,945.90 is: 118,605.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,564.34 : 217,439.46 = 85,945.90 : x
  2. Step 2: Convert to fraction form
    157,564.34/217,439.46 = 85,945.90/x
  3. Step 3: Cross multiply
    157,564.34x = 217,439.46 × 85,945.90
  4. Step 4: Simplify right side
    157,564.34x = 18,688,030,085.21
  5. Step 5: Solve for x
    x = 18,688,030,085.21/157,564.34
  6. Step 6: Final answer
    x = 118,605.71

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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.