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Finding the Fourth Proportional to 221,082, 305,095.32 and 120,482.16

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Solution

The fourth proportional to 221,082, 305,095.32 and 120,482.16 is: 166,266.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,082 : 305,095.32 = 120,482.16 : x
  2. Step 2: Convert to fraction form
    221,082/305,095.32 = 120,482.16/x
  3. Step 3: Cross multiply
    221,082x = 305,095.32 × 120,482.16
  4. Step 4: Simplify right side
    221,082x = 36,758,543,159.49
  5. Step 5: Solve for x
    x = 36,758,543,159.49/221,082
  6. Step 6: Final answer
    x = 166,266.56

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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.