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Finding the Fourth Proportional to 211,065.50, 291,270.42 and 121,641.50

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Solution

The fourth proportional to 211,065.50, 291,270.42 and 121,641.50 is: 167,865.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,065.50 : 291,270.42 = 121,641.50 : x
  2. Step 2: Convert to fraction form
    211,065.50/291,270.42 = 121,641.50/x
  3. Step 3: Cross multiply
    211,065.50x = 291,270.42 × 121,641.50
  4. Step 4: Simplify right side
    211,065.50x = 35,430,570,794.43
  5. Step 5: Solve for x
    x = 35,430,570,794.43/211,065.50
  6. Step 6: Final answer
    x = 167,865.29

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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.