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Finding the Fourth Proportional to 216,706.21, 299,038.33 and 121,194.45

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Solution

The fourth proportional to 216,706.21, 299,038.33 and 121,194.45 is: 167,239.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,706.21 : 299,038.33 = 121,194.45 : x
  2. Step 2: Convert to fraction form
    216,706.21/299,038.33 = 121,194.45/x
  3. Step 3: Cross multiply
    216,706.21x = 299,038.33 × 121,194.45
  4. Step 4: Simplify right side
    216,706.21x = 36,241,785,933.27
  5. Step 5: Solve for x
    x = 36,241,785,933.27/216,706.21
  6. Step 6: Final answer
    x = 167,239.26

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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.