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Finding the Fourth Proportional to 57,005.78, 85,510.41 and 19,565.32

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Solution

The fourth proportional to 57,005.78, 85,510.41 and 19,565.32 is: 29,348.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,005.78 : 85,510.41 = 19,565.32 : x
  2. Step 2: Convert to fraction form
    57,005.78/85,510.41 = 19,565.32/x
  3. Step 3: Cross multiply
    57,005.78x = 85,510.41 × 19,565.32
  4. Step 4: Simplify right side
    57,005.78x = 1,673,038,247.84
  5. Step 5: Solve for x
    x = 1,673,038,247.84/57,005.78
  6. Step 6: Final answer
    x = 29,348.57

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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.