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Finding the Fourth Proportional to 233,184.80, 321,785.52 and 137,722.40

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Solution

The fourth proportional to 233,184.80, 321,785.52 and 137,722.40 is: 190,051.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,184.80 : 321,785.52 = 137,722.40 : x
  2. Step 2: Convert to fraction form
    233,184.80/321,785.52 = 137,722.40/x
  3. Step 3: Cross multiply
    233,184.80x = 321,785.52 × 137,722.40
  4. Step 4: Simplify right side
    233,184.80x = 44,317,074,099.65
  5. Step 5: Solve for x
    x = 44,317,074,099.65/233,184.80
  6. Step 6: Final answer
    x = 190,051.30

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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.