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Finding the Fourth Proportional to 118,114.10, 177,245.15 and 78,698.91

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Solution

The fourth proportional to 118,114.10, 177,245.15 and 78,698.91 is: 118,097.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,114.10 : 177,245.15 = 78,698.91 : x
  2. Step 2: Convert to fraction form
    118,114.10/177,245.15 = 78,698.91/x
  3. Step 3: Cross multiply
    118,114.10x = 177,245.15 × 78,698.91
  4. Step 4: Simplify right side
    118,114.10x = 13,948,999,714.29
  5. Step 5: Solve for x
    x = 13,948,999,714.29/118,114.10
  6. Step 6: Final answer
    x = 118,097.67

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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.