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Finding the Fourth Proportional to 157,855.68, 217,844.10 and 86,238.72

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Solution

The fourth proportional to 157,855.68, 217,844.10 and 86,238.72 is: 119,011.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,855.68 : 217,844.10 = 86,238.72 : x
  2. Step 2: Convert to fraction form
    157,855.68/217,844.10 = 86,238.72/x
  3. Step 3: Cross multiply
    157,855.68x = 217,844.10 × 86,238.72
  4. Step 4: Simplify right side
    157,855.68x = 18,786,596,343.55
  5. Step 5: Solve for x
    x = 18,786,596,343.55/157,855.68
  6. Step 6: Final answer
    x = 119,011.22

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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.