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Finding the Fourth Proportional to 118,915.64, 164,099.14 and 65,199.40

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Solution

The fourth proportional to 118,915.64, 164,099.14 and 65,199.40 is: 89,972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,915.64 : 164,099.14 = 65,199.40 : x
  2. Step 2: Convert to fraction form
    118,915.64/164,099.14 = 65,199.40/x
  3. Step 3: Cross multiply
    118,915.64x = 164,099.14 × 65,199.40
  4. Step 4: Simplify right side
    118,915.64x = 10,699,165,468.52
  5. Step 5: Solve for x
    x = 10,699,165,468.52/118,915.64
  6. Step 6: Final answer
    x = 89,972.74

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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.