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Finding the Fourth Proportional to 157,019.10, 216,695.21 and 85,397.69

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Solution

The fourth proportional to 157,019.10, 216,695.21 and 85,397.69 is: 117,853.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,019.10 : 216,695.21 = 85,397.69 : x
  2. Step 2: Convert to fraction form
    157,019.10/216,695.21 = 85,397.69/x
  3. Step 3: Cross multiply
    157,019.10x = 216,695.21 × 85,397.69
  4. Step 4: Simplify right side
    157,019.10x = 18,505,268,857.60
  5. Step 5: Solve for x
    x = 18,505,268,857.60/157,019.10
  6. Step 6: Final answer
    x = 117,853.62

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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.