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Finding the Fourth Proportional to 72,302.81, 108,451.01 and 19,712.30

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Solution

The fourth proportional to 72,302.81, 108,451.01 and 19,712.30 is: 29,567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,302.81 : 108,451.01 = 19,712.30 : x
  2. Step 2: Convert to fraction form
    72,302.81/108,451.01 = 19,712.30/x
  3. Step 3: Cross multiply
    72,302.81x = 108,451.01 × 19,712.30
  4. Step 4: Simplify right side
    72,302.81x = 2,137,818,351.45
  5. Step 5: Solve for x
    x = 2,137,818,351.45/72,302.81
  6. Step 6: Final answer
    x = 29,567.57

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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.