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Finding the Fourth Proportional to 157,644.90, 217,554.58 and 86,029.54

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Solution

The fourth proportional to 157,644.90, 217,554.58 and 86,029.54 is: 118,723.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,644.90 : 217,554.58 = 86,029.54 : x
  2. Step 2: Convert to fraction form
    157,644.90/217,554.58 = 86,029.54/x
  3. Step 3: Cross multiply
    157,644.90x = 217,554.58 × 86,029.54
  4. Step 4: Simplify right side
    157,644.90x = 18,716,119,683.33
  5. Step 5: Solve for x
    x = 18,716,119,683.33/157,644.90
  6. Step 6: Final answer
    x = 118,723.28

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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.