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Finding the Fourth Proportional to 100,690.16, 151,057.31 and 30,574.94

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Solution

The fourth proportional to 100,690.16, 151,057.31 and 30,574.94 is: 45,869.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,690.16 : 151,057.31 = 30,574.94 : x
  2. Step 2: Convert to fraction form
    100,690.16/151,057.31 = 30,574.94/x
  3. Step 3: Cross multiply
    100,690.16x = 151,057.31 × 30,574.94
  4. Step 4: Simplify right side
    100,690.16x = 4,618,567,281.65
  5. Step 5: Solve for x
    x = 4,618,567,281.65/100,690.16
  6. Step 6: Final answer
    x = 45,869.10

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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.