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Finding the Fourth Proportional to 64,893.09, 97,349.22 and 20,509.77

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Solution

The fourth proportional to 64,893.09, 97,349.22 and 20,509.77 is: 30,767.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,893.09 : 97,349.22 = 20,509.77 : x
  2. Step 2: Convert to fraction form
    64,893.09/97,349.22 = 20,509.77/x
  3. Step 3: Cross multiply
    64,893.09x = 97,349.22 × 20,509.77
  4. Step 4: Simplify right side
    64,893.09x = 1,996,610,111.88
  5. Step 5: Solve for x
    x = 1,996,610,111.88/64,893.09
  6. Step 6: Final answer
    x = 30,767.68

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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.