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Finding the Fourth Proportional to 218,791.82, 301,988.89 and 142,501.03

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Solution

The fourth proportional to 218,791.82, 301,988.89 and 142,501.03 is: 196,688.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,791.82 : 301,988.89 = 142,501.03 : x
  2. Step 2: Convert to fraction form
    218,791.82/301,988.89 = 142,501.03/x
  3. Step 3: Cross multiply
    218,791.82x = 301,988.89 × 142,501.03
  4. Step 4: Simplify right side
    218,791.82x = 43,033,727,296.71
  5. Step 5: Solve for x
    x = 43,033,727,296.71/218,791.82
  6. Step 6: Final answer
    x = 196,688.01

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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.