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Finding the Fourth Proportional to 210,859.89, 290,986.47 and 115,366.97

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Solution

The fourth proportional to 210,859.89, 290,986.47 and 115,366.97 is: 159,206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,859.89 : 290,986.47 = 115,366.97 : x
  2. Step 2: Convert to fraction form
    210,859.89/290,986.47 = 115,366.97/x
  3. Step 3: Cross multiply
    210,859.89x = 290,986.47 × 115,366.97
  4. Step 4: Simplify right side
    210,859.89x = 33,570,227,354.90
  5. Step 5: Solve for x
    x = 33,570,227,354.90/210,859.89
  6. Step 6: Final answer
    x = 159,206.32

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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.