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Finding the Fourth Proportional to 157,891.56, 217,891.89 and 86,271.58

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Solution

The fourth proportional to 157,891.56, 217,891.89 and 86,271.58 is: 119,055.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,891.56 : 217,891.89 = 86,271.58 : x
  2. Step 2: Convert to fraction form
    157,891.56/217,891.89 = 86,271.58/x
  3. Step 3: Cross multiply
    157,891.56x = 217,891.89 × 86,271.58
  4. Step 4: Simplify right side
    157,891.56x = 18,797,877,188.13
  5. Step 5: Solve for x
    x = 18,797,877,188.13/157,891.56
  6. Step 6: Final answer
    x = 119,055.62

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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.