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Finding the Fourth Proportional to 78,076.17, 117,096.74 and 35,915.76

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Solution

The fourth proportional to 78,076.17, 117,096.74 and 35,915.76 is: 53,865.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,076.17 : 117,096.74 = 35,915.76 : x
  2. Step 2: Convert to fraction form
    78,076.17/117,096.74 = 35,915.76/x
  3. Step 3: Cross multiply
    78,076.17x = 117,096.74 × 35,915.76
  4. Step 4: Simplify right side
    78,076.17x = 4,205,618,231.04
  5. Step 5: Solve for x
    x = 4,205,618,231.04/78,076.17
  6. Step 6: Final answer
    x = 53,865.58

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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.