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Finding the Fourth Proportional to 165,518.48, 248,322 and 47,200.16

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Solution

The fourth proportional to 165,518.48, 248,322 and 47,200.16 is: 70,812.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,518.48 : 248,322 = 47,200.16 : x
  2. Step 2: Convert to fraction form
    165,518.48/248,322 = 47,200.16/x
  3. Step 3: Cross multiply
    165,518.48x = 248,322 × 47,200.16
  4. Step 4: Simplify right side
    165,518.48x = 11,720,838,131.52
  5. Step 5: Solve for x
    x = 11,720,838,131.52/165,518.48
  6. Step 6: Final answer
    x = 70,812.87

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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.