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Finding the Fourth Proportional to 213,659.04, 320,395.06 and 101,371.28

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Solution

The fourth proportional to 213,659.04, 320,395.06 and 101,371.28 is: 152,012.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,659.04 : 320,395.06 = 101,371.28 : x
  2. Step 2: Convert to fraction form
    213,659.04/320,395.06 = 101,371.28/x
  3. Step 3: Cross multiply
    213,659.04x = 320,395.06 × 101,371.28
  4. Step 4: Simplify right side
    213,659.04x = 32,478,857,337.88
  5. Step 5: Solve for x
    x = 32,478,857,337.88/213,659.04
  6. Step 6: Final answer
    x = 152,012.56

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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.