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Finding the Fourth Proportional to 157,965.84, 217,998.72 and 86,350.72

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Solution

The fourth proportional to 157,965.84, 217,998.72 and 86,350.72 is: 119,167.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,965.84 : 217,998.72 = 86,350.72 : x
  2. Step 2: Convert to fraction form
    157,965.84/217,998.72 = 86,350.72/x
  3. Step 3: Cross multiply
    157,965.84x = 217,998.72 × 86,350.72
  4. Step 4: Simplify right side
    157,965.84x = 18,824,346,431.08
  5. Step 5: Solve for x
    x = 18,824,346,431.08/157,965.84
  6. Step 6: Final answer
    x = 119,167.20

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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.