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Finding the Fourth Proportional to 210,150, 290,007 and 134,698.68

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Solution

The fourth proportional to 210,150, 290,007 and 134,698.68 is: 185,884.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,150 : 290,007 = 134,698.68 : x
  2. Step 2: Convert to fraction form
    210,150/290,007 = 134,698.68/x
  3. Step 3: Cross multiply
    210,150x = 290,007 × 134,698.68
  4. Step 4: Simplify right side
    210,150x = 39,063,560,090.76
  5. Step 5: Solve for x
    x = 39,063,560,090.76/210,150
  6. Step 6: Final answer
    x = 185,884.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.