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Finding the Fourth Proportional to 72,448.98, 108,646.16 and 30,331.96

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Solution

The fourth proportional to 72,448.98, 108,646.16 and 30,331.96 is: 45,486.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,448.98 : 108,646.16 = 30,331.96 : x
  2. Step 2: Convert to fraction form
    72,448.98/108,646.16 = 30,331.96/x
  3. Step 3: Cross multiply
    72,448.98x = 108,646.16 × 30,331.96
  4. Step 4: Simplify right side
    72,448.98x = 3,295,450,979.27
  5. Step 5: Solve for x
    x = 3,295,450,979.27/72,448.98
  6. Step 6: Final answer
    x = 45,486.51

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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.