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Finding the Fourth Proportional to 216,446.40, 298,695.33 and 120,953.07

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Solution

The fourth proportional to 216,446.40, 298,695.33 and 120,953.07 is: 166,914.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,446.40 : 298,695.33 = 120,953.07 : x
  2. Step 2: Convert to fraction form
    216,446.40/298,695.33 = 120,953.07/x
  3. Step 3: Cross multiply
    216,446.40x = 298,695.33 × 120,953.07
  4. Step 4: Simplify right side
    216,446.40x = 36,128,117,158.16
  5. Step 5: Solve for x
    x = 36,128,117,158.16/216,446.40
  6. Step 6: Final answer
    x = 166,914.84

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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.