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Finding the Fourth Proportional to 118,946.40, 178,419.60 and 105,813.60

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Solution

The fourth proportional to 118,946.40, 178,419.60 and 105,813.60 is: 158,720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,946.40 : 178,419.60 = 105,813.60 : x
  2. Step 2: Convert to fraction form
    118,946.40/178,419.60 = 105,813.60/x
  3. Step 3: Cross multiply
    118,946.40x = 178,419.60 × 105,813.60
  4. Step 4: Simplify right side
    118,946.40x = 18,879,220,186.56
  5. Step 5: Solve for x
    x = 18,879,220,186.56/118,946.40
  6. Step 6: Final answer
    x = 158,720.40

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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.