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Finding the Fourth Proportional to 64,343.20, 96,511.20 and 19,969.60

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Solution

The fourth proportional to 64,343.20, 96,511.20 and 19,969.60 is: 29,953.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,343.20 : 96,511.20 = 19,969.60 : x
  2. Step 2: Convert to fraction form
    64,343.20/96,511.20 = 19,969.60/x
  3. Step 3: Cross multiply
    64,343.20x = 96,511.20 × 19,969.60
  4. Step 4: Simplify right side
    64,343.20x = 1,927,290,059.52
  5. Step 5: Solve for x
    x = 1,927,290,059.52/64,343.20
  6. Step 6: Final answer
    x = 29,953.28

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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.