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Finding the Fourth Proportional to 142,441.52, 213,511.62 and 53,656.62

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Solution

The fourth proportional to 142,441.52, 213,511.62 and 53,656.62 is: 80,428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,441.52 : 213,511.62 = 53,656.62 : x
  2. Step 2: Convert to fraction form
    142,441.52/213,511.62 = 53,656.62/x
  3. Step 3: Cross multiply
    142,441.52x = 213,511.62 × 53,656.62
  4. Step 4: Simplify right side
    142,441.52x = 11,456,311,859.92
  5. Step 5: Solve for x
    x = 11,456,311,859.92/142,441.52
  6. Step 6: Final answer
    x = 80,428.18

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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.