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Finding the Fourth Proportional to 71,953.96, 107,923.20 and 19,368.76

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Solution

The fourth proportional to 71,953.96, 107,923.20 and 19,368.76 is: 29,051.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,953.96 : 107,923.20 = 19,368.76 : x
  2. Step 2: Convert to fraction form
    71,953.96/107,923.20 = 19,368.76/x
  3. Step 3: Cross multiply
    71,953.96x = 107,923.20 × 19,368.76
  4. Step 4: Simplify right side
    71,953.96x = 2,090,338,559.23
  5. Step 5: Solve for x
    x = 2,090,338,559.23/71,953.96
  6. Step 6: Final answer
    x = 29,051.06

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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.