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Finding the Fourth Proportional to 216,705.21, 299,036.95 and 121,193.46

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Solution

The fourth proportional to 216,705.21, 299,036.95 and 121,193.46 is: 167,237.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,705.21 : 299,036.95 = 121,193.46 : x
  2. Step 2: Convert to fraction form
    216,705.21/299,036.95 = 121,193.46/x
  3. Step 3: Cross multiply
    216,705.21x = 299,036.95 × 121,193.46
  4. Step 4: Simplify right side
    216,705.21x = 36,241,321,143.16
  5. Step 5: Solve for x
    x = 36,241,321,143.16/216,705.21
  6. Step 6: Final answer
    x = 167,237.89

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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.