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Finding the Fourth Proportional to 101,451.72, 152,192.16 and 31,336.50

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Solution

The fourth proportional to 101,451.72, 152,192.16 and 31,336.50 is: 47,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,451.72 : 152,192.16 = 31,336.50 : x
  2. Step 2: Convert to fraction form
    101,451.72/152,192.16 = 31,336.50/x
  3. Step 3: Cross multiply
    101,451.72x = 152,192.16 × 31,336.50
  4. Step 4: Simplify right side
    101,451.72x = 4,769,169,621.84
  5. Step 5: Solve for x
    x = 4,769,169,621.84/101,451.72
  6. Step 6: Final answer
    x = 47,009.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.