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Finding the Fourth Proportional to 72,965.40, 109,367.10 and 28,577.40

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Solution

The fourth proportional to 72,965.40, 109,367.10 and 28,577.40 is: 42,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,965.40 : 109,367.10 = 28,577.40 : x
  2. Step 2: Convert to fraction form
    72,965.40/109,367.10 = 28,577.40/x
  3. Step 3: Cross multiply
    72,965.40x = 109,367.10 × 28,577.40
  4. Step 4: Simplify right side
    72,965.40x = 3,125,427,363.54
  5. Step 5: Solve for x
    x = 3,125,427,363.54/72,965.40
  6. Step 6: Final answer
    x = 42,834.38

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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.