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Finding the Fourth Proportional to 218,713.46, 301,852.05 and 123,242.90

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Solution

The fourth proportional to 218,713.46, 301,852.05 and 123,242.90 is: 170,090.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,713.46 : 301,852.05 = 123,242.90 : x
  2. Step 2: Convert to fraction form
    218,713.46/301,852.05 = 123,242.90/x
  3. Step 3: Cross multiply
    218,713.46x = 301,852.05 × 123,242.90
  4. Step 4: Simplify right side
    218,713.46x = 37,201,122,012.95
  5. Step 5: Solve for x
    x = 37,201,122,012.95/218,713.46
  6. Step 6: Final answer
    x = 170,090.68

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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.