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Finding the Fourth Proportional to 100,670.71, 150,677.49 and 74,009.65

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Solution

The fourth proportional to 100,670.71, 150,677.49 and 74,009.65 is: 110,772.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,670.71 : 150,677.49 = 74,009.65 : x
  2. Step 2: Convert to fraction form
    100,670.71/150,677.49 = 74,009.65/x
  3. Step 3: Cross multiply
    100,670.71x = 150,677.49 × 74,009.65
  4. Step 4: Simplify right side
    100,670.71x = 11,151,588,030.41
  5. Step 5: Solve for x
    x = 11,151,588,030.41/100,670.71
  6. Step 6: Final answer
    x = 110,772.91

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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.