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Finding the Fourth Proportional to 142,844.30, 214,311.72 and 85,980.48

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Solution

The fourth proportional to 142,844.30, 214,311.72 and 85,980.48 is: 128,997.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,844.30 : 214,311.72 = 85,980.48 : x
  2. Step 2: Convert to fraction form
    142,844.30/214,311.72 = 85,980.48/x
  3. Step 3: Cross multiply
    142,844.30x = 214,311.72 × 85,980.48
  4. Step 4: Simplify right side
    142,844.30x = 18,426,624,555.23
  5. Step 5: Solve for x
    x = 18,426,624,555.23/142,844.30
  6. Step 6: Final answer
    x = 128,997.97

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1.5x scale

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.