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Finding the Fourth Proportional to 221,962.63, 306,308.43 and 121,360.63

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Solution

The fourth proportional to 221,962.63, 306,308.43 and 121,360.63 is: 167,477.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,962.63 : 306,308.43 = 121,360.63 : x
  2. Step 2: Convert to fraction form
    221,962.63/306,308.43 = 121,360.63/x
  3. Step 3: Cross multiply
    221,962.63x = 306,308.43 × 121,360.63
  4. Step 4: Simplify right side
    221,962.63x = 37,173,784,039.11
  5. Step 5: Solve for x
    x = 37,173,784,039.11/221,962.63
  6. Step 6: Final answer
    x = 167,477.67

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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.