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Finding the Fourth Proportional to 157,605.42, 217,486.62 and 89,638.92

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Solution

The fourth proportional to 157,605.42, 217,486.62 and 89,638.92 is: 123,696.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,605.42 : 217,486.62 = 89,638.92 : x
  2. Step 2: Convert to fraction form
    157,605.42/217,486.62 = 89,638.92/x
  3. Step 3: Cross multiply
    157,605.42x = 217,486.62 × 89,638.92
  4. Step 4: Simplify right side
    157,605.42x = 19,495,265,731.25
  5. Step 5: Solve for x
    x = 19,495,265,731.25/157,605.42
  6. Step 6: Final answer
    x = 123,696.67

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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.