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Finding the Fourth Proportional to 139,631.60, 209,447.40 and 102,452.60

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Solution

The fourth proportional to 139,631.60, 209,447.40 and 102,452.60 is: 153,678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,631.60 : 209,447.40 = 102,452.60 : x
  2. Step 2: Convert to fraction form
    139,631.60/209,447.40 = 102,452.60/x
  3. Step 3: Cross multiply
    139,631.60x = 209,447.40 × 102,452.60
  4. Step 4: Simplify right side
    139,631.60x = 21,458,430,693.24
  5. Step 5: Solve for x
    x = 21,458,430,693.24/139,631.60
  6. Step 6: Final answer
    x = 153,678.90

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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.