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Finding the Fourth Proportional to 210,804.14, 290,828.01 and 134,309.54

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Solution

The fourth proportional to 210,804.14, 290,828.01 and 134,309.54 is: 185,295.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,804.14 : 290,828.01 = 134,309.54 : x
  2. Step 2: Convert to fraction form
    210,804.14/290,828.01 = 134,309.54/x
  3. Step 3: Cross multiply
    210,804.14x = 290,828.01 × 134,309.54
  4. Step 4: Simplify right side
    210,804.14x = 39,060,976,242.22
  5. Step 5: Solve for x
    x = 39,060,976,242.22/210,804.14
  6. Step 6: Final answer
    x = 185,295.11

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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.