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Finding the Fourth Proportional to 219,192.82, 328,711.47 and 78,913.78

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Solution

The fourth proportional to 219,192.82, 328,711.47 and 78,913.78 is: 118,342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,192.82 : 328,711.47 = 78,913.78 : x
  2. Step 2: Convert to fraction form
    219,192.82/328,711.47 = 78,913.78/x
  3. Step 3: Cross multiply
    219,192.82x = 328,711.47 × 78,913.78
  4. Step 4: Simplify right side
    219,192.82x = 25,939,864,627.06
  5. Step 5: Solve for x
    x = 25,939,864,627.06/219,192.82
  6. Step 6: Final answer
    x = 118,342.67

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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.