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Finding the Fourth Proportional to 218,685.40, 301,964.70 and 138,242.68

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Solution

The fourth proportional to 218,685.40, 301,964.70 and 138,242.68 is: 190,887.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,685.40 : 301,964.70 = 138,242.68 : x
  2. Step 2: Convert to fraction form
    218,685.40/301,964.70 = 138,242.68/x
  3. Step 3: Cross multiply
    218,685.40x = 301,964.70 × 138,242.68
  4. Step 4: Simplify right side
    218,685.40x = 41,744,409,393.40
  5. Step 5: Solve for x
    x = 41,744,409,393.40/218,685.40
  6. Step 6: Final answer
    x = 190,887.96

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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.