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Finding the Fourth Proportional to 72,720.32, 109,068.32 and 20,135.12

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Solution

The fourth proportional to 72,720.32, 109,068.32 and 20,135.12 is: 30,199.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,720.32 : 109,068.32 = 20,135.12 : x
  2. Step 2: Convert to fraction form
    72,720.32/109,068.32 = 20,135.12/x
  3. Step 3: Cross multiply
    72,720.32x = 109,068.32 × 20,135.12
  4. Step 4: Simplify right side
    72,720.32x = 2,196,103,216.39
  5. Step 5: Solve for x
    x = 2,196,103,216.39/72,720.32
  6. Step 6: Final answer
    x = 30,199.31

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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.