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Finding the Fourth Proportional to 78,025.68, 117,299.48 and 61,583.90

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Solution

The fourth proportional to 78,025.68, 117,299.48 and 61,583.90 is: 92,581.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,025.68 : 117,299.48 = 61,583.90 : x
  2. Step 2: Convert to fraction form
    78,025.68/117,299.48 = 61,583.90/x
  3. Step 3: Cross multiply
    78,025.68x = 117,299.48 × 61,583.90
  4. Step 4: Simplify right side
    78,025.68x = 7,223,758,551.96
  5. Step 5: Solve for x
    x = 7,223,758,551.96/78,025.68
  6. Step 6: Final answer
    x = 92,581.81

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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.