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Finding the Fourth Proportional to 210,201.20, 290,078.46 and 114,710

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Solution

The fourth proportional to 210,201.20, 290,078.46 and 114,710 is: 158,300.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,201.20 : 290,078.46 = 114,710 : x
  2. Step 2: Convert to fraction form
    210,201.20/290,078.46 = 114,710/x
  3. Step 3: Cross multiply
    210,201.20x = 290,078.46 × 114,710
  4. Step 4: Simplify right side
    210,201.20x = 33,274,900,146.60
  5. Step 5: Solve for x
    x = 33,274,900,146.60/210,201.20
  6. Step 6: Final answer
    x = 158,300.24

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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.