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Finding the Fourth Proportional to 210,295.68, 290,207.76 and 134,844

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Solution

The fourth proportional to 210,295.68, 290,207.76 and 134,844 is: 186,084.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,295.68 : 290,207.76 = 134,844 : x
  2. Step 2: Convert to fraction form
    210,295.68/290,207.76 = 134,844/x
  3. Step 3: Cross multiply
    210,295.68x = 290,207.76 × 134,844
  4. Step 4: Simplify right side
    210,295.68x = 39,132,775,189.44
  5. Step 5: Solve for x
    x = 39,132,775,189.44/210,295.68
  6. Step 6: Final answer
    x = 186,084.54

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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.