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Finding the Fourth Proportional to 118,881.45, 178,280.82 and 47,782.98

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Solution

The fourth proportional to 118,881.45, 178,280.82 and 47,782.98 is: 71,657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,881.45 : 178,280.82 = 47,782.98 : x
  2. Step 2: Convert to fraction form
    118,881.45/178,280.82 = 47,782.98/x
  3. Step 3: Cross multiply
    118,881.45x = 178,280.82 × 47,782.98
  4. Step 4: Simplify right side
    118,881.45x = 8,518,788,856.44
  5. Step 5: Solve for x
    x = 8,518,788,856.44/118,881.45
  6. Step 6: Final answer
    x = 71,657.85

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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.