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Finding the Fourth Proportional to 142,651.84, 213,933.84 and 53,947.12

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Solution

The fourth proportional to 142,651.84, 213,933.84 and 53,947.12 is: 80,904.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,651.84 : 213,933.84 = 53,947.12 : x
  2. Step 2: Convert to fraction form
    142,651.84/213,933.84 = 53,947.12/x
  3. Step 3: Cross multiply
    142,651.84x = 213,933.84 × 53,947.12
  4. Step 4: Simplify right side
    142,651.84x = 11,541,114,538.54
  5. Step 5: Solve for x
    x = 11,541,114,538.54/142,651.84
  6. Step 6: Final answer
    x = 80,904.07

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1.5x scale

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.