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Finding the Fourth Proportional to 143,814.16, 215,740.68 and 135,066.16

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Solution

The fourth proportional to 143,814.16, 215,740.68 and 135,066.16 is: 202,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,814.16 : 215,740.68 = 135,066.16 : x
  2. Step 2: Convert to fraction form
    143,814.16/215,740.68 = 135,066.16/x
  3. Step 3: Cross multiply
    143,814.16x = 215,740.68 × 135,066.16
  4. Step 4: Simplify right side
    143,814.16x = 29,139,265,203.39
  5. Step 5: Solve for x
    x = 29,139,265,203.39/143,814.16
  6. Step 6: Final answer
    x = 202,617.50

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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.