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Finding the Fourth Proportional to 216,457.08, 298,710.24 and 120,963.78

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Solution

The fourth proportional to 216,457.08, 298,710.24 and 120,963.78 is: 166,929.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,457.08 : 298,710.24 = 120,963.78 : x
  2. Step 2: Convert to fraction form
    216,457.08/298,710.24 = 120,963.78/x
  3. Step 3: Cross multiply
    216,457.08x = 298,710.24 × 120,963.78
  4. Step 4: Simplify right side
    216,457.08x = 36,133,119,755.11
  5. Step 5: Solve for x
    x = 36,133,119,755.11/216,457.08
  6. Step 6: Final answer
    x = 166,929.72

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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.