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Finding the Fourth Proportional to 210,649.51, 290,662.72 and 120,007.27

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Solution

The fourth proportional to 210,649.51, 290,662.72 and 120,007.27 is: 165,590.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,649.51 : 290,662.72 = 120,007.27 : x
  2. Step 2: Convert to fraction form
    210,649.51/290,662.72 = 120,007.27/x
  3. Step 3: Cross multiply
    210,649.51x = 290,662.72 × 120,007.27
  4. Step 4: Simplify right side
    210,649.51x = 34,881,639,517.97
  5. Step 5: Solve for x
    x = 34,881,639,517.97/210,649.51
  6. Step 6: Final answer
    x = 165,590.89

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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.