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Finding the Fourth Proportional to 118,971.50, 178,447.79 and 47,844

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Solution

The fourth proportional to 118,971.50, 178,447.79 and 47,844 is: 71,762.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,971.50 : 178,447.79 = 47,844 : x
  2. Step 2: Convert to fraction form
    118,971.50/178,447.79 = 47,844/x
  3. Step 3: Cross multiply
    118,971.50x = 178,447.79 × 47,844
  4. Step 4: Simplify right side
    118,971.50x = 8,537,656,184.37
  5. Step 5: Solve for x
    x = 8,537,656,184.37/118,971.50
  6. Step 6: Final answer
    x = 71,762.20

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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.