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Finding the Fourth Proportional to 161,270.30, 221,965.44 and 142,024.22

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Solution

The fourth proportional to 161,270.30, 221,965.44 and 142,024.22 is: 195,475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,270.30 : 221,965.44 = 142,024.22 : x
  2. Step 2: Convert to fraction form
    161,270.30/221,965.44 = 142,024.22/x
  3. Step 3: Cross multiply
    161,270.30x = 221,965.44 × 142,024.22
  4. Step 4: Simplify right side
    161,270.30x = 31,524,468,482.96
  5. Step 5: Solve for x
    x = 31,524,468,482.96/161,270.30
  6. Step 6: Final answer
    x = 195,475.97

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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.