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Finding the Fourth Proportional to 66,732.51, 100,109.70 and 31,653.03

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Solution

The fourth proportional to 66,732.51, 100,109.70 and 31,653.03 is: 47,484.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,732.51 : 100,109.70 = 31,653.03 : x
  2. Step 2: Convert to fraction form
    66,732.51/100,109.70 = 31,653.03/x
  3. Step 3: Cross multiply
    66,732.51x = 100,109.70 × 31,653.03
  4. Step 4: Simplify right side
    66,732.51x = 3,168,775,337.39
  5. Step 5: Solve for x
    x = 3,168,775,337.39/66,732.51
  6. Step 6: Final answer
    x = 47,484.73

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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.