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Finding the Fourth Proportional to 162,519.31, 224,297.81 and 90,914.20

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Solution

The fourth proportional to 162,519.31, 224,297.81 and 90,914.20 is: 125,473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,519.31 : 224,297.81 = 90,914.20 : x
  2. Step 2: Convert to fraction form
    162,519.31/224,297.81 = 90,914.20/x
  3. Step 3: Cross multiply
    162,519.31x = 224,297.81 × 90,914.20
  4. Step 4: Simplify right side
    162,519.31x = 20,391,855,283.51
  5. Step 5: Solve for x
    x = 20,391,855,283.51/162,519.31
  6. Step 6: Final answer
    x = 125,473.43

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1.5x scale

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.