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Finding the Fourth Proportional to 210,684.96, 290,749.44 and 115,197.60

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Solution

The fourth proportional to 210,684.96, 290,749.44 and 115,197.60 is: 158,974.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,684.96 : 290,749.44 = 115,197.60 : x
  2. Step 2: Convert to fraction form
    210,684.96/290,749.44 = 115,197.60/x
  3. Step 3: Cross multiply
    210,684.96x = 290,749.44 × 115,197.60
  4. Step 4: Simplify right side
    210,684.96x = 33,493,637,689.34
  5. Step 5: Solve for x
    x = 33,493,637,689.34/210,684.96
  6. Step 6: Final answer
    x = 158,974.98

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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.