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Finding the Fourth Proportional to 221,090, 305,106.36 and 120,490.16

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Solution

The fourth proportional to 221,090, 305,106.36 and 120,490.16 is: 166,277.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,090 : 305,106.36 = 120,490.16 : x
  2. Step 2: Convert to fraction form
    221,090/305,106.36 = 120,490.16/x
  3. Step 3: Cross multiply
    221,090x = 305,106.36 × 120,490.16
  4. Step 4: Simplify right side
    221,090x = 36,762,314,133.42
  5. Step 5: Solve for x
    x = 36,762,314,133.42/221,090
  6. Step 6: Final answer
    x = 166,277.60

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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.