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Finding the Fourth Proportional to 157,690.16, 236,605.68 and 85,664.96

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Solution

The fourth proportional to 157,690.16, 236,605.68 and 85,664.96 is: 128,535.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,690.16 : 236,605.68 = 85,664.96 : x
  2. Step 2: Convert to fraction form
    157,690.16/236,605.68 = 85,664.96/x
  3. Step 3: Cross multiply
    157,690.16x = 236,605.68 × 85,664.96
  4. Step 4: Simplify right side
    157,690.16x = 20,268,816,112.97
  5. Step 5: Solve for x
    x = 20,268,816,112.97/157,690.16
  6. Step 6: Final answer
    x = 128,535.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.