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Finding the Fourth Proportional to 72,509.12, 108,705.12 and 28,112.96

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Solution

The fourth proportional to 72,509.12, 108,705.12 and 28,112.96 is: 42,146.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,509.12 : 108,705.12 = 28,112.96 : x
  2. Step 2: Convert to fraction form
    72,509.12/108,705.12 = 28,112.96/x
  3. Step 3: Cross multiply
    72,509.12x = 108,705.12 × 28,112.96
  4. Step 4: Simplify right side
    72,509.12x = 3,056,022,690.36
  5. Step 5: Solve for x
    x = 3,056,022,690.36/72,509.12
  6. Step 6: Final answer
    x = 42,146.74

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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.