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Finding the Fourth Proportional to 100,701.22, 151,051.82 and 47,950.78

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Solution

The fourth proportional to 100,701.22, 151,051.82 and 47,950.78 is: 71,926.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,701.22 : 151,051.82 = 47,950.78 : x
  2. Step 2: Convert to fraction form
    100,701.22/151,051.82 = 47,950.78/x
  3. Step 3: Cross multiply
    100,701.22x = 151,051.82 × 47,950.78
  4. Step 4: Simplify right side
    100,701.22x = 7,243,051,834.16
  5. Step 5: Solve for x
    x = 7,243,051,834.16/100,701.22
  6. Step 6: Final answer
    x = 71,926.16

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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.