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Finding the Fourth Proportional to 214,061.80, 320,703.90 and 130,858.60

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Solution

The fourth proportional to 214,061.80, 320,703.90 and 130,858.60 is: 196,050.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,061.80 : 320,703.90 = 130,858.60 : x
  2. Step 2: Convert to fraction form
    214,061.80/320,703.90 = 130,858.60/x
  3. Step 3: Cross multiply
    214,061.80x = 320,703.90 × 130,858.60
  4. Step 4: Simplify right side
    214,061.80x = 41,966,863,368.54
  5. Step 5: Solve for x
    x = 41,966,863,368.54/214,061.80
  6. Step 6: Final answer
    x = 196,050.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.