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Finding the Fourth Proportional to 65,122, 89,868.40 and 35,314

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Solution

The fourth proportional to 65,122, 89,868.40 and 35,314 is: 48,733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,122 : 89,868.40 = 35,314 : x
  2. Step 2: Convert to fraction form
    65,122/89,868.40 = 35,314/x
  3. Step 3: Cross multiply
    65,122x = 89,868.40 × 35,314
  4. Step 4: Simplify right side
    65,122x = 3,173,612,677.60
  5. Step 5: Solve for x
    x = 3,173,612,677.60/65,122
  6. Step 6: Final answer
    x = 48,733.34

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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.