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Finding the Fourth Proportional to 157,209.14, 216,941.80 and 85,589.41

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Solution

The fourth proportional to 157,209.14, 216,941.80 and 85,589.41 is: 118,109.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,209.14 : 216,941.80 = 85,589.41 : x
  2. Step 2: Convert to fraction form
    157,209.14/216,941.80 = 85,589.41/x
  3. Step 3: Cross multiply
    157,209.14x = 216,941.80 × 85,589.41
  4. Step 4: Simplify right side
    157,209.14x = 18,567,919,153.68
  5. Step 5: Solve for x
    x = 18,567,919,153.68/157,209.14
  6. Step 6: Final answer
    x = 118,109.67

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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.