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Finding the Fourth Proportional to 78,574.79, 117,880.49 and 22,415.67

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Solution

The fourth proportional to 78,574.79, 117,880.49 and 22,415.67 is: 33,628.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,574.79 : 117,880.49 = 22,415.67 : x
  2. Step 2: Convert to fraction form
    78,574.79/117,880.49 = 22,415.67/x
  3. Step 3: Cross multiply
    78,574.79x = 117,880.49 × 22,415.67
  4. Step 4: Simplify right side
    78,574.79x = 2,642,370,051.20
  5. Step 5: Solve for x
    x = 2,642,370,051.20/78,574.79
  6. Step 6: Final answer
    x = 33,628.73

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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.