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Finding the Fourth Proportional to 202,158.92, 302,992.40 and 143,011.64

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Solution

The fourth proportional to 202,158.92, 302,992.40 and 143,011.64 is: 214,343.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,158.92 : 302,992.40 = 143,011.64 : x
  2. Step 2: Convert to fraction form
    202,158.92/302,992.40 = 143,011.64/x
  3. Step 3: Cross multiply
    202,158.92x = 302,992.40 × 143,011.64
  4. Step 4: Simplify right side
    202,158.92x = 43,331,441,146.55
  5. Step 5: Solve for x
    x = 43,331,441,146.55/202,158.92
  6. Step 6: Final answer
    x = 214,343.45

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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.