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Finding the Fourth Proportional to 70,644.64, 105,967.05 and 18,054.18

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Solution

The fourth proportional to 70,644.64, 105,967.05 and 18,054.18 is: 27,081.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,644.64 : 105,967.05 = 18,054.18 : x
  2. Step 2: Convert to fraction form
    70,644.64/105,967.05 = 18,054.18/x
  3. Step 3: Cross multiply
    70,644.64x = 105,967.05 × 18,054.18
  4. Step 4: Simplify right side
    70,644.64x = 1,913,148,194.77
  5. Step 5: Solve for x
    x = 1,913,148,194.77/70,644.64
  6. Step 6: Final answer
    x = 27,081.29

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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.