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Finding the Fourth Proportional to 216,478.16, 298,728.76 and 120,966.20

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Solution

The fourth proportional to 216,478.16, 298,728.76 and 120,966.20 is: 166,927.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,478.16 : 298,728.76 = 120,966.20 : x
  2. Step 2: Convert to fraction form
    216,478.16/298,728.76 = 120,966.20/x
  3. Step 3: Cross multiply
    216,478.16x = 298,728.76 × 120,966.20
  4. Step 4: Simplify right side
    216,478.16x = 36,136,082,927.91
  5. Step 5: Solve for x
    x = 36,136,082,927.91/216,478.16
  6. Step 6: Final answer
    x = 166,927.15

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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.