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Finding the Fourth Proportional to 221,259, 305,360.46 and 136,373.88

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Solution

The fourth proportional to 221,259, 305,360.46 and 136,373.88 is: 188,210.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,259 : 305,360.46 = 136,373.88 : x
  2. Step 2: Convert to fraction form
    221,259/305,360.46 = 136,373.88/x
  3. Step 3: Cross multiply
    221,259x = 305,360.46 × 136,373.88
  4. Step 4: Simplify right side
    221,259x = 41,643,190,728.78
  5. Step 5: Solve for x
    x = 41,643,190,728.78/221,259
  6. Step 6: Final answer
    x = 188,210.16

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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.