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Finding the Fourth Proportional to 143,297.80, 214,693.60 and 87,023.08

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Solution

The fourth proportional to 143,297.80, 214,693.60 and 87,023.08 is: 130,380.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,297.80 : 214,693.60 = 87,023.08 : x
  2. Step 2: Convert to fraction form
    143,297.80/214,693.60 = 87,023.08/x
  3. Step 3: Cross multiply
    143,297.80x = 214,693.60 × 87,023.08
  4. Step 4: Simplify right side
    143,297.80x = 18,683,298,328.29
  5. Step 5: Solve for x
    x = 18,683,298,328.29/143,297.80
  6. Step 6: Final answer
    x = 130,380.92

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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.