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Finding the Fourth Proportional to 64,642.44, 89,178.30 and 39,477

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Solution

The fourth proportional to 64,642.44, 89,178.30 and 39,477 is: 54,461.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,642.44 : 89,178.30 = 39,477 : x
  2. Step 2: Convert to fraction form
    64,642.44/89,178.30 = 39,477/x
  3. Step 3: Cross multiply
    64,642.44x = 89,178.30 × 39,477
  4. Step 4: Simplify right side
    64,642.44x = 3,520,491,749.10
  5. Step 5: Solve for x
    x = 3,520,491,749.10/64,642.44
  6. Step 6: Final answer
    x = 54,461.00

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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.