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Finding the Fourth Proportional to 210,749.68, 290,838.80 and 115,262.51

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Solution

The fourth proportional to 210,749.68, 290,838.80 and 115,262.51 is: 159,064.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,749.68 : 290,838.80 = 115,262.51 : x
  2. Step 2: Convert to fraction form
    210,749.68/290,838.80 = 115,262.51/x
  3. Step 3: Cross multiply
    210,749.68x = 290,838.80 × 115,262.51
  4. Step 4: Simplify right side
    210,749.68x = 33,522,809,517.08
  5. Step 5: Solve for x
    x = 33,522,809,517.08/210,749.68
  6. Step 6: Final answer
    x = 159,064.58

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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.