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Finding the Fourth Proportional to 157,020.46, 216,689.24 and 85,401

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Solution

The fourth proportional to 157,020.46, 216,689.24 and 85,401 is: 117,853.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,020.46 : 216,689.24 = 85,401 : x
  2. Step 2: Convert to fraction form
    157,020.46/216,689.24 = 85,401/x
  3. Step 3: Cross multiply
    157,020.46x = 216,689.24 × 85,401
  4. Step 4: Simplify right side
    157,020.46x = 18,505,477,785.24
  5. Step 5: Solve for x
    x = 18,505,477,785.24/157,020.46
  6. Step 6: Final answer
    x = 117,853.93

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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.