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Finding the Fourth Proportional to 107,730.40, 161,768.40 and 72,824.80

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Solution

The fourth proportional to 107,730.40, 161,768.40 and 72,824.80 is: 109,354.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,730.40 : 161,768.40 = 72,824.80 : x
  2. Step 2: Convert to fraction form
    107,730.40/161,768.40 = 72,824.80/x
  3. Step 3: Cross multiply
    107,730.40x = 161,768.40 × 72,824.80
  4. Step 4: Simplify right side
    107,730.40x = 11,780,751,376.32
  5. Step 5: Solve for x
    x = 11,780,751,376.32/107,730.40
  6. Step 6: Final answer
    x = 109,354.01

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Why These Related Problems?

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