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Finding the Fourth Proportional to 216,732.26, 299,078.49 and 121,220.51

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Solution

The fourth proportional to 216,732.26, 299,078.49 and 121,220.51 is: 167,277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,732.26 : 299,078.49 = 121,220.51 : x
  2. Step 2: Convert to fraction form
    216,732.26/299,078.49 = 121,220.51/x
  3. Step 3: Cross multiply
    216,732.26x = 299,078.49 × 121,220.51
  4. Step 4: Simplify right side
    216,732.26x = 36,254,446,047.01
  5. Step 5: Solve for x
    x = 36,254,446,047.01/216,732.26
  6. Step 6: Final answer
    x = 167,277.57

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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.