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Finding the Fourth Proportional to 153,963.72, 230,968.80 and 65,217.60

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Solution

The fourth proportional to 153,963.72, 230,968.80 and 65,217.60 is: 97,836.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,963.72 : 230,968.80 = 65,217.60 : x
  2. Step 2: Convert to fraction form
    153,963.72/230,968.80 = 65,217.60/x
  3. Step 3: Cross multiply
    153,963.72x = 230,968.80 × 65,217.60
  4. Step 4: Simplify right side
    153,963.72x = 15,063,230,810.88
  5. Step 5: Solve for x
    x = 15,063,230,810.88/153,963.72
  6. Step 6: Final answer
    x = 97,836.24

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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.