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Finding the Fourth Proportional to 218,973.39, 302,238.32 and 123,535.44

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Solution

The fourth proportional to 218,973.39, 302,238.32 and 123,535.44 is: 170,509.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,973.39 : 302,238.32 = 123,535.44 : x
  2. Step 2: Convert to fraction form
    218,973.39/302,238.32 = 123,535.44/x
  3. Step 3: Cross multiply
    218,973.39x = 302,238.32 × 123,535.44
  4. Step 4: Simplify right side
    218,973.39x = 37,337,143,228.38
  5. Step 5: Solve for x
    x = 37,337,143,228.38/218,973.39
  6. Step 6: Final answer
    x = 170,509.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.