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Finding the Fourth Proportional to 218,492.74, 301,520.48 and 121,695.82

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Solution

The fourth proportional to 218,492.74, 301,520.48 and 121,695.82 is: 167,940.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,492.74 : 301,520.48 = 121,695.82 : x
  2. Step 2: Convert to fraction form
    218,492.74/301,520.48 = 121,695.82/x
  3. Step 3: Cross multiply
    218,492.74x = 301,520.48 × 121,695.82
  4. Step 4: Simplify right side
    218,492.74x = 36,693,780,698.11
  5. Step 5: Solve for x
    x = 36,693,780,698.11/218,492.74
  6. Step 6: Final answer
    x = 167,940.50

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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.