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Finding the Fourth Proportional to 77,392, 106,811.04 and 45,563.84

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Solution

The fourth proportional to 77,392, 106,811.04 and 45,563.84 is: 62,884.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,392 : 106,811.04 = 45,563.84 : x
  2. Step 2: Convert to fraction form
    77,392/106,811.04 = 45,563.84/x
  3. Step 3: Cross multiply
    77,392x = 106,811.04 × 45,563.84
  4. Step 4: Simplify right side
    77,392x = 4,866,721,136.79
  5. Step 5: Solve for x
    x = 4,866,721,136.79/77,392
  6. Step 6: Final answer
    x = 62,884.03

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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.