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Finding the Fourth Proportional to 157,648.65, 217,559.75 and 86,033.28

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Solution

The fourth proportional to 157,648.65, 217,559.75 and 86,033.28 is: 118,728.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,648.65 : 217,559.75 = 86,033.28 : x
  2. Step 2: Convert to fraction form
    157,648.65/217,559.75 = 86,033.28/x
  3. Step 3: Cross multiply
    157,648.65x = 217,559.75 × 86,033.28
  4. Step 4: Simplify right side
    157,648.65x = 18,717,378,458.31
  5. Step 5: Solve for x
    x = 18,717,378,458.31/157,648.65
  6. Step 6: Final answer
    x = 118,728.44

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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.