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Finding the Fourth Proportional to 118,762.96, 178,153.44 and 39,877.60

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Solution

The fourth proportional to 118,762.96, 178,153.44 and 39,877.60 is: 59,819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,762.96 : 178,153.44 = 39,877.60 : x
  2. Step 2: Convert to fraction form
    118,762.96/178,153.44 = 39,877.60/x
  3. Step 3: Cross multiply
    118,762.96x = 178,153.44 × 39,877.60
  4. Step 4: Simplify right side
    118,762.96x = 7,104,331,618.94
  5. Step 5: Solve for x
    x = 7,104,331,618.94/118,762.96
  6. Step 6: Final answer
    x = 59,819.42

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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.