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Finding the Fourth Proportional to 71,970.72, 107,943.84 and 19,368.48

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Solution

The fourth proportional to 71,970.72, 107,943.84 and 19,368.48 is: 29,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,970.72 : 107,943.84 = 19,368.48 : x
  2. Step 2: Convert to fraction form
    71,970.72/107,943.84 = 19,368.48/x
  3. Step 3: Cross multiply
    71,970.72x = 107,943.84 × 19,368.48
  4. Step 4: Simplify right side
    71,970.72x = 2,090,708,106.16
  5. Step 5: Solve for x
    x = 2,090,708,106.16/71,970.72
  6. Step 6: Final answer
    x = 29,049.43

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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.