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Finding the Fourth Proportional to 65,169.84, 89,929 and 38,313.48

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Solution

The fourth proportional to 65,169.84, 89,929 and 38,313.48 is: 52,869.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,169.84 : 89,929 = 38,313.48 : x
  2. Step 2: Convert to fraction form
    65,169.84/89,929 = 38,313.48/x
  3. Step 3: Cross multiply
    65,169.84x = 89,929 × 38,313.48
  4. Step 4: Simplify right side
    65,169.84x = 3,445,492,942.92
  5. Step 5: Solve for x
    x = 3,445,492,942.92/65,169.84
  6. Step 6: Final answer
    x = 52,869.44

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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.