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Finding the Fourth Proportional to 218,709.38, 301,825.31 and 128,056.88

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Solution

The fourth proportional to 218,709.38, 301,825.31 and 128,056.88 is: 176,722.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,709.38 : 301,825.31 = 128,056.88 : x
  2. Step 2: Convert to fraction form
    218,709.38/301,825.31 = 128,056.88/x
  3. Step 3: Cross multiply
    218,709.38x = 301,825.31 × 128,056.88
  4. Step 4: Simplify right side
    218,709.38x = 38,650,807,617.91
  5. Step 5: Solve for x
    x = 38,650,807,617.91/218,709.38
  6. Step 6: Final answer
    x = 176,722.22

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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.