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Finding the Fourth Proportional to 142,289.82, 213,443.08 and 53,544.08

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Solution

The fourth proportional to 142,289.82, 213,443.08 and 53,544.08 is: 80,319.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,289.82 : 213,443.08 = 53,544.08 : x
  2. Step 2: Convert to fraction form
    142,289.82/213,443.08 = 53,544.08/x
  3. Step 3: Cross multiply
    142,289.82x = 213,443.08 × 53,544.08
  4. Step 4: Simplify right side
    142,289.82x = 11,428,613,350.97
  5. Step 5: Solve for x
    x = 11,428,613,350.97/142,289.82
  6. Step 6: Final answer
    x = 80,319.26

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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.