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Finding the Fourth Proportional to 103,313.32, 155,029.02 and 85,993

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Solution

The fourth proportional to 103,313.32, 155,029.02 and 85,993 is: 129,038.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,313.32 : 155,029.02 = 85,993 : x
  2. Step 2: Convert to fraction form
    103,313.32/155,029.02 = 85,993/x
  3. Step 3: Cross multiply
    103,313.32x = 155,029.02 × 85,993
  4. Step 4: Simplify right side
    103,313.32x = 13,331,410,516.86
  5. Step 5: Solve for x
    x = 13,331,410,516.86/103,313.32
  6. Step 6: Final answer
    x = 129,038.64

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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.