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Finding the Fourth Proportional to 157,907.49, 217,912.91 and 86,287.52

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Solution

The fourth proportional to 157,907.49, 217,912.91 and 86,287.52 is: 119,077.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,907.49 : 217,912.91 = 86,287.52 : x
  2. Step 2: Convert to fraction form
    157,907.49/217,912.91 = 86,287.52/x
  3. Step 3: Cross multiply
    157,907.49x = 217,912.91 × 86,287.52
  4. Step 4: Simplify right side
    157,907.49x = 18,803,164,035.10
  5. Step 5: Solve for x
    x = 18,803,164,035.10/157,907.49
  6. Step 6: Final answer
    x = 119,077.09

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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.