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Finding the Fourth Proportional to 64,283.58, 96,429.96 and 19,904.64

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Solution

The fourth proportional to 64,283.58, 96,429.96 and 19,904.64 is: 29,858.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,283.58 : 96,429.96 = 19,904.64 : x
  2. Step 2: Convert to fraction form
    64,283.58/96,429.96 = 19,904.64/x
  3. Step 3: Cross multiply
    64,283.58x = 96,429.96 × 19,904.64
  4. Step 4: Simplify right side
    64,283.58x = 1,919,403,639.01
  5. Step 5: Solve for x
    x = 1,919,403,639.01/64,283.58
  6. Step 6: Final answer
    x = 29,858.38

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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.