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Finding the Fourth Proportional to 213,148.60, 319,722.90 and 102,556.60

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Solution

The fourth proportional to 213,148.60, 319,722.90 and 102,556.60 is: 153,834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,148.60 : 319,722.90 = 102,556.60 : x
  2. Step 2: Convert to fraction form
    213,148.60/319,722.90 = 102,556.60/x
  3. Step 3: Cross multiply
    213,148.60x = 319,722.90 × 102,556.60
  4. Step 4: Simplify right side
    213,148.60x = 32,789,693,566.14
  5. Step 5: Solve for x
    x = 32,789,693,566.14/213,148.60
  6. Step 6: Final answer
    x = 153,834.90

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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.