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Finding the Fourth Proportional to 210,843.48, 290,970.90 and 115,347.96

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Solution

The fourth proportional to 210,843.48, 290,970.90 and 115,347.96 is: 159,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,843.48 : 290,970.90 = 115,347.96 : x
  2. Step 2: Convert to fraction form
    210,843.48/290,970.90 = 115,347.96/x
  3. Step 3: Cross multiply
    210,843.48x = 290,970.90 × 115,347.96
  4. Step 4: Simplify right side
    210,843.48x = 33,562,899,734.36
  5. Step 5: Solve for x
    x = 33,562,899,734.36/210,843.48
  6. Step 6: Final answer
    x = 159,183.96

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1.5x scale

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.