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Finding the Fourth Proportional to 210,809.16, 290,912.85 and 115,315.02

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Solution

The fourth proportional to 210,809.16, 290,912.85 and 115,315.02 is: 159,132.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,809.16 : 290,912.85 = 115,315.02 : x
  2. Step 2: Convert to fraction form
    210,809.16/290,912.85 = 115,315.02/x
  3. Step 3: Cross multiply
    210,809.16x = 290,912.85 × 115,315.02
  4. Step 4: Simplify right side
    210,809.16x = 33,546,621,116.01
  5. Step 5: Solve for x
    x = 33,546,621,116.01/210,809.16
  6. Step 6: Final answer
    x = 159,132.65

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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.