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Finding the Fourth Proportional to 142,371.69, 213,580.62 and 53,632.95

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Solution

The fourth proportional to 142,371.69, 213,580.62 and 53,632.95 is: 80,458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,371.69 : 213,580.62 = 53,632.95 : x
  2. Step 2: Convert to fraction form
    142,371.69/213,580.62 = 53,632.95/x
  3. Step 3: Cross multiply
    142,371.69x = 213,580.62 × 53,632.95
  4. Step 4: Simplify right side
    142,371.69x = 11,454,958,713.43
  5. Step 5: Solve for x
    x = 11,454,958,713.43/142,371.69
  6. Step 6: Final answer
    x = 80,458.12

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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.