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Finding the Fourth Proportional to 100,051.80, 150,022.29 and 40,929

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Solution

The fourth proportional to 100,051.80, 150,022.29 and 40,929 is: 61,370.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,051.80 : 150,022.29 = 40,929 : x
  2. Step 2: Convert to fraction form
    100,051.80/150,022.29 = 40,929/x
  3. Step 3: Cross multiply
    100,051.80x = 150,022.29 × 40,929
  4. Step 4: Simplify right side
    100,051.80x = 6,140,262,307.41
  5. Step 5: Solve for x
    x = 6,140,262,307.41/100,051.80
  6. Step 6: Final answer
    x = 61,370.83

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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.