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Finding the Fourth Proportional to 57,005.25, 85,509.09 and 19,565.16

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Solution

The fourth proportional to 57,005.25, 85,509.09 and 19,565.16 is: 29,348.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,005.25 : 85,509.09 = 19,565.16 : x
  2. Step 2: Convert to fraction form
    57,005.25/85,509.09 = 19,565.16/x
  3. Step 3: Cross multiply
    57,005.25x = 85,509.09 × 19,565.16
  4. Step 4: Simplify right side
    57,005.25x = 1,672,999,027.30
  5. Step 5: Solve for x
    x = 1,672,999,027.30/57,005.25
  6. Step 6: Final answer
    x = 29,348.16

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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.