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Finding the Fourth Proportional to 143,342.80, 214,949.40 and 64,416.40

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Solution

The fourth proportional to 143,342.80, 214,949.40 and 64,416.40 is: 96,595.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,342.80 : 214,949.40 = 64,416.40 : x
  2. Step 2: Convert to fraction form
    143,342.80/214,949.40 = 64,416.40/x
  3. Step 3: Cross multiply
    143,342.80x = 214,949.40 × 64,416.40
  4. Step 4: Simplify right side
    143,342.80x = 13,846,266,530.16
  5. Step 5: Solve for x
    x = 13,846,266,530.16/143,342.80
  6. Step 6: Final answer
    x = 96,595.48

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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.