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Finding the Fourth Proportional to 102,165.72, 140,987.34 and 57,453.72

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Solution

The fourth proportional to 102,165.72, 140,987.34 and 57,453.72 is: 79,285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,165.72 : 140,987.34 = 57,453.72 : x
  2. Step 2: Convert to fraction form
    102,165.72/140,987.34 = 57,453.72/x
  3. Step 3: Cross multiply
    102,165.72x = 140,987.34 × 57,453.72
  4. Step 4: Simplify right side
    102,165.72x = 8,100,247,155.90
  5. Step 5: Solve for x
    x = 8,100,247,155.90/102,165.72
  6. Step 6: Final answer
    x = 79,285.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.