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Finding the Fourth Proportional to 72,525.31, 108,713.13 and 30,429.83

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Solution

The fourth proportional to 72,525.31, 108,713.13 and 30,429.83 is: 45,613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,525.31 : 108,713.13 = 30,429.83 : x
  2. Step 2: Convert to fraction form
    72,525.31/108,713.13 = 30,429.83/x
  3. Step 3: Cross multiply
    72,525.31x = 108,713.13 × 30,429.83
  4. Step 4: Simplify right side
    72,525.31x = 3,308,122,222.34
  5. Step 5: Solve for x
    x = 3,308,122,222.34/72,525.31
  6. Step 6: Final answer
    x = 45,613.35

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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.