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Finding the Fourth Proportional to 35,668.81, 53,456.71 and 19,873.20

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Solution

The fourth proportional to 35,668.81, 53,456.71 and 19,873.20 is: 29,783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,668.81 : 53,456.71 = 19,873.20 : x
  2. Step 2: Convert to fraction form
    35,668.81/53,456.71 = 19,873.20/x
  3. Step 3: Cross multiply
    35,668.81x = 53,456.71 × 19,873.20
  4. Step 4: Simplify right side
    35,668.81x = 1,062,355,776.52
  5. Step 5: Solve for x
    x = 1,062,355,776.52/35,668.81
  6. Step 6: Final answer
    x = 29,783.89

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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.