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Finding the Fourth Proportional to 210,321.68, 290,243.64 and 134,870

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Solution

The fourth proportional to 210,321.68, 290,243.64 and 134,870 is: 186,120.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,321.68 : 290,243.64 = 134,870 : x
  2. Step 2: Convert to fraction form
    210,321.68/290,243.64 = 134,870/x
  3. Step 3: Cross multiply
    210,321.68x = 290,243.64 × 134,870
  4. Step 4: Simplify right side
    210,321.68x = 39,145,159,726.80
  5. Step 5: Solve for x
    x = 39,145,159,726.80/210,321.68
  6. Step 6: Final answer
    x = 186,120.42

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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.