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Finding the Fourth Proportional to 109,915.62, 164,817.99 and 78,307.62

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Solution

The fourth proportional to 109,915.62, 164,817.99 and 78,307.62 is: 117,421.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,915.62 : 164,817.99 = 78,307.62 : x
  2. Step 2: Convert to fraction form
    109,915.62/164,817.99 = 78,307.62/x
  3. Step 3: Cross multiply
    109,915.62x = 164,817.99 × 78,307.62
  4. Step 4: Simplify right side
    109,915.62x = 12,906,504,530.08
  5. Step 5: Solve for x
    x = 12,906,504,530.08/109,915.62
  6. Step 6: Final answer
    x = 117,421.93

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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.