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Finding the Fourth Proportional to 157,544, 217,410.72 and 86,888

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Solution

The fourth proportional to 157,544, 217,410.72 and 86,888 is: 119,905.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,544 : 217,410.72 = 86,888 : x
  2. Step 2: Convert to fraction form
    157,544/217,410.72 = 86,888/x
  3. Step 3: Cross multiply
    157,544x = 217,410.72 × 86,888
  4. Step 4: Simplify right side
    157,544x = 18,890,382,639.36
  5. Step 5: Solve for x
    x = 18,890,382,639.36/157,544
  6. Step 6: Final answer
    x = 119,905.44

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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.