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Finding the Fourth Proportional to 161,422.74, 222,873.12 and 101,017.80

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Solution

The fourth proportional to 161,422.74, 222,873.12 and 101,017.80 is: 139,473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,422.74 : 222,873.12 = 101,017.80 : x
  2. Step 2: Convert to fraction form
    161,422.74/222,873.12 = 101,017.80/x
  3. Step 3: Cross multiply
    161,422.74x = 222,873.12 × 101,017.80
  4. Step 4: Simplify right side
    161,422.74x = 22,514,152,261.54
  5. Step 5: Solve for x
    x = 22,514,152,261.54/161,422.74
  6. Step 6: Final answer
    x = 139,473.24

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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.