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Finding the Fourth Proportional to 161,824.32, 242,840.16 and 78,672.96

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Solution

The fourth proportional to 161,824.32, 242,840.16 and 78,672.96 is: 118,059.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,824.32 : 242,840.16 = 78,672.96 : x
  2. Step 2: Convert to fraction form
    161,824.32/242,840.16 = 78,672.96/x
  3. Step 3: Cross multiply
    161,824.32x = 242,840.16 × 78,672.96
  4. Step 4: Simplify right side
    161,824.32x = 19,104,954,194.07
  5. Step 5: Solve for x
    x = 19,104,954,194.07/161,824.32
  6. Step 6: Final answer
    x = 118,059.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.