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Finding the Fourth Proportional to 65,123, 89,869.78 and 35,315

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Solution

The fourth proportional to 65,123, 89,869.78 and 35,315 is: 48,734.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,123 : 89,869.78 = 35,315 : x
  2. Step 2: Convert to fraction form
    65,123/89,869.78 = 35,315/x
  3. Step 3: Cross multiply
    65,123x = 89,869.78 × 35,315
  4. Step 4: Simplify right side
    65,123x = 3,173,751,280.70
  5. Step 5: Solve for x
    x = 3,173,751,280.70/65,123
  6. Step 6: Final answer
    x = 48,734.72

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1.5x scale

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.