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Finding the Fourth Proportional to 78,292.80, 117,438.87 and 28,361.19

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Solution

The fourth proportional to 78,292.80, 117,438.87 and 28,361.19 is: 42,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,292.80 : 117,438.87 = 28,361.19 : x
  2. Step 2: Convert to fraction form
    78,292.80/117,438.87 = 28,361.19/x
  3. Step 3: Cross multiply
    78,292.80x = 117,438.87 × 28,361.19
  4. Step 4: Simplify right side
    78,292.80x = 3,330,706,105.46
  5. Step 5: Solve for x
    x = 3,330,706,105.46/78,292.80
  6. Step 6: Final answer
    x = 42,541.67

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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.