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Finding the Fourth Proportional to 289,621.60, 434,115.60 and 102,536.80

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Solution

The fourth proportional to 289,621.60, 434,115.60 and 102,536.80 is: 153,693.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,621.60 : 434,115.60 = 102,536.80 : x
  2. Step 2: Convert to fraction form
    289,621.60/434,115.60 = 102,536.80/x
  3. Step 3: Cross multiply
    289,621.60x = 434,115.60 × 102,536.80
  4. Step 4: Simplify right side
    289,621.60x = 44,512,824,454.08
  5. Step 5: Solve for x
    x = 44,512,824,454.08/289,621.60
  6. Step 6: Final answer
    x = 153,693.04

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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.