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Finding the Fourth Proportional to 78,223.84, 117,334.56 and 19,059.60

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Solution

The fourth proportional to 78,223.84, 117,334.56 and 19,059.60 is: 28,589.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,223.84 : 117,334.56 = 19,059.60 : x
  2. Step 2: Convert to fraction form
    78,223.84/117,334.56 = 19,059.60/x
  3. Step 3: Cross multiply
    78,223.84x = 117,334.56 × 19,059.60
  4. Step 4: Simplify right side
    78,223.84x = 2,236,349,779.78
  5. Step 5: Solve for x
    x = 2,236,349,779.78/78,223.84
  6. Step 6: Final answer
    x = 28,589.11

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1.5x scale

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.