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Finding the Fourth Proportional to 65,258, 90,056.04 and 35,450

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Solution

The fourth proportional to 65,258, 90,056.04 and 35,450 is: 48,921

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,258 : 90,056.04 = 35,450 : x
  2. Step 2: Convert to fraction form
    65,258/90,056.04 = 35,450/x
  3. Step 3: Cross multiply
    65,258x = 90,056.04 × 35,450
  4. Step 4: Simplify right side
    65,258x = 3,192,486,618
  5. Step 5: Solve for x
    x = 3,192,486,618/65,258
  6. Step 6: Final answer
    x = 48,921

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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.