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Finding the Fourth Proportional to 118,898.78, 178,222.41 and 43,970.78

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Solution

The fourth proportional to 118,898.78, 178,222.41 and 43,970.78 is: 65,909.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,898.78 : 178,222.41 = 43,970.78 : x
  2. Step 2: Convert to fraction form
    118,898.78/178,222.41 = 43,970.78/x
  3. Step 3: Cross multiply
    118,898.78x = 178,222.41 × 43,970.78
  4. Step 4: Simplify right side
    118,898.78x = 7,836,578,381.18
  5. Step 5: Solve for x
    x = 7,836,578,381.18/118,898.78
  6. Step 6: Final answer
    x = 65,909.66

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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.