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Finding the Fourth Proportional to 72,448.16, 108,672.98 and 19,857.62

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Solution

The fourth proportional to 72,448.16, 108,672.98 and 19,857.62 is: 29,786.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,448.16 : 108,672.98 = 19,857.62 : x
  2. Step 2: Convert to fraction form
    72,448.16/108,672.98 = 19,857.62/x
  3. Step 3: Cross multiply
    72,448.16x = 108,672.98 × 19,857.62
  4. Step 4: Simplify right side
    72,448.16x = 2,157,986,913.50
  5. Step 5: Solve for x
    x = 2,157,986,913.50/72,448.16
  6. Step 6: Final answer
    x = 29,786.64

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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.