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Finding the Fourth Proportional to 70,657.60, 105,986.40 and 18,071.20

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Solution

The fourth proportional to 70,657.60, 105,986.40 and 18,071.20 is: 27,106.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,657.60 : 105,986.40 = 18,071.20 : x
  2. Step 2: Convert to fraction form
    70,657.60/105,986.40 = 18,071.20/x
  3. Step 3: Cross multiply
    70,657.60x = 105,986.40 × 18,071.20
  4. Step 4: Simplify right side
    70,657.60x = 1,915,301,431.68
  5. Step 5: Solve for x
    x = 1,915,301,431.68/70,657.60
  6. Step 6: Final answer
    x = 27,106.80

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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.