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Finding the Fourth Proportional to 157,515.13, 217,368.03 and 85,893.67

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Solution

The fourth proportional to 157,515.13, 217,368.03 and 85,893.67 is: 118,531.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,515.13 : 217,368.03 = 85,893.67 : x
  2. Step 2: Convert to fraction form
    157,515.13/217,368.03 = 85,893.67/x
  3. Step 3: Cross multiply
    157,515.13x = 217,368.03 × 85,893.67
  4. Step 4: Simplify right side
    157,515.13x = 18,670,537,837.37
  5. Step 5: Solve for x
    x = 18,670,537,837.37/157,515.13
  6. Step 6: Final answer
    x = 118,531.71

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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.