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Finding the Fourth Proportional to 230,657.60, 345,986.40 and 64,445.60

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Solution

The fourth proportional to 230,657.60, 345,986.40 and 64,445.60 is: 96,668.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,657.60 : 345,986.40 = 64,445.60 : x
  2. Step 2: Convert to fraction form
    230,657.60/345,986.40 = 64,445.60/x
  3. Step 3: Cross multiply
    230,657.60x = 345,986.40 × 64,445.60
  4. Step 4: Simplify right side
    230,657.60x = 22,297,301,139.84
  5. Step 5: Solve for x
    x = 22,297,301,139.84/230,657.60
  6. Step 6: Final answer
    x = 96,668.40

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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.