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Finding the Fourth Proportional to 80,509.64, 111,106.50 and 46,517

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Solution

The fourth proportional to 80,509.64, 111,106.50 and 46,517 is: 64,195.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,509.64 : 111,106.50 = 46,517 : x
  2. Step 2: Convert to fraction form
    80,509.64/111,106.50 = 46,517/x
  3. Step 3: Cross multiply
    80,509.64x = 111,106.50 × 46,517
  4. Step 4: Simplify right side
    80,509.64x = 5,168,341,060.50
  5. Step 5: Solve for x
    x = 5,168,341,060.50/80,509.64
  6. Step 6: Final answer
    x = 64,195.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.