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Finding the Fourth Proportional to 64,972.88, 89,634 and 38,101.76

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Solution

The fourth proportional to 64,972.88, 89,634 and 38,101.76 is: 52,563.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,972.88 : 89,634 = 38,101.76 : x
  2. Step 2: Convert to fraction form
    64,972.88/89,634 = 38,101.76/x
  3. Step 3: Cross multiply
    64,972.88x = 89,634 × 38,101.76
  4. Step 4: Simplify right side
    64,972.88x = 3,415,213,155.84
  5. Step 5: Solve for x
    x = 3,415,213,155.84/64,972.88
  6. Step 6: Final answer
    x = 52,563.67

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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.