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Finding the Fourth Proportional to 71,026, 106,539.84 and 18,432.28

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Solution

The fourth proportional to 71,026, 106,539.84 and 18,432.28 is: 27,648.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,026 : 106,539.84 = 18,432.28 : x
  2. Step 2: Convert to fraction form
    71,026/106,539.84 = 18,432.28/x
  3. Step 3: Cross multiply
    71,026x = 106,539.84 × 18,432.28
  4. Step 4: Simplify right side
    71,026x = 1,963,772,162.04
  5. Step 5: Solve for x
    x = 1,963,772,162.04/71,026
  6. Step 6: Final answer
    x = 27,648.64

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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.