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Finding the Fourth Proportional to 143,296.20, 214,946.10 and 43,457.40

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Solution

The fourth proportional to 143,296.20, 214,946.10 and 43,457.40 is: 65,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,296.20 : 214,946.10 = 43,457.40 : x
  2. Step 2: Convert to fraction form
    143,296.20/214,946.10 = 43,457.40/x
  3. Step 3: Cross multiply
    143,296.20x = 214,946.10 × 43,457.40
  4. Step 4: Simplify right side
    143,296.20x = 9,340,998,646.14
  5. Step 5: Solve for x
    x = 9,340,998,646.14/143,296.20
  6. Step 6: Final answer
    x = 65,186.65

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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.