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Finding the Fourth Proportional to 35,570.75, 53,339.72 and 20,784.20

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Solution

The fourth proportional to 35,570.75, 53,339.72 and 20,784.20 is: 31,166.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,570.75 : 53,339.72 = 20,784.20 : x
  2. Step 2: Convert to fraction form
    35,570.75/53,339.72 = 20,784.20/x
  3. Step 3: Cross multiply
    35,570.75x = 53,339.72 × 20,784.20
  4. Step 4: Simplify right side
    35,570.75x = 1,108,623,037.80
  5. Step 5: Solve for x
    x = 1,108,623,037.80/35,570.75
  6. Step 6: Final answer
    x = 31,166.71

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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.