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Finding the Fourth Proportional to 70,590.76, 105,889 and 18,001.60

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Solution

The fourth proportional to 70,590.76, 105,889 and 18,001.60 is: 27,003.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,590.76 : 105,889 = 18,001.60 : x
  2. Step 2: Convert to fraction form
    70,590.76/105,889 = 18,001.60/x
  3. Step 3: Cross multiply
    70,590.76x = 105,889 × 18,001.60
  4. Step 4: Simplify right side
    70,590.76x = 1,906,171,422.40
  5. Step 5: Solve for x
    x = 1,906,171,422.40/70,590.76
  6. Step 6: Final answer
    x = 27,003.13

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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.