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Finding the Fourth Proportional to 80,310, 110,829.40 and 46,778.16

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Solution

The fourth proportional to 80,310, 110,829.40 and 46,778.16 is: 64,554.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,310 : 110,829.40 = 46,778.16 : x
  2. Step 2: Convert to fraction form
    80,310/110,829.40 = 46,778.16/x
  3. Step 3: Cross multiply
    80,310x = 110,829.40 × 46,778.16
  4. Step 4: Simplify right side
    80,310x = 5,184,395,405.90
  5. Step 5: Solve for x
    x = 5,184,395,405.90/80,310
  6. Step 6: Final answer
    x = 64,554.79

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Why These Related Problems?

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