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Finding the Fourth Proportional to 190,818.72, 286,220.79 and 78,467.67

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Solution

The fourth proportional to 190,818.72, 286,220.79 and 78,467.67 is: 117,698.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,818.72 : 286,220.79 = 78,467.67 : x
  2. Step 2: Convert to fraction form
    190,818.72/286,220.79 = 78,467.67/x
  3. Step 3: Cross multiply
    190,818.72x = 286,220.79 × 78,467.67
  4. Step 4: Simplify right side
    190,818.72x = 22,459,078,496.86
  5. Step 5: Solve for x
    x = 22,459,078,496.86/190,818.72
  6. Step 6: Final answer
    x = 117,698.51

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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.