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Finding the Fourth Proportional to 270,637.92, 405,995.76 and 83,664

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Solution

The fourth proportional to 270,637.92, 405,995.76 and 83,664 is: 125,508.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,637.92 : 405,995.76 = 83,664 : x
  2. Step 2: Convert to fraction form
    270,637.92/405,995.76 = 83,664/x
  3. Step 3: Cross multiply
    270,637.92x = 405,995.76 × 83,664
  4. Step 4: Simplify right side
    270,637.92x = 33,967,229,264.64
  5. Step 5: Solve for x
    x = 33,967,229,264.64/270,637.92
  6. Step 6: Final answer
    x = 125,508.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.