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Finding the Fourth Proportional to 143,298.80, 214,695.10 and 87,024.08

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Solution

The fourth proportional to 143,298.80, 214,695.10 and 87,024.08 is: 130,382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,298.80 : 214,695.10 = 87,024.08 : x
  2. Step 2: Convert to fraction form
    143,298.80/214,695.10 = 87,024.08/x
  3. Step 3: Cross multiply
    143,298.80x = 214,695.10 × 87,024.08
  4. Step 4: Simplify right side
    143,298.80x = 18,683,643,558.01
  5. Step 5: Solve for x
    x = 18,683,643,558.01/143,298.80
  6. Step 6: Final answer
    x = 130,382.41

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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.