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Finding the Fourth Proportional to 64,964, 89,650.44 and 35,156

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Solution

The fourth proportional to 64,964, 89,650.44 and 35,156 is: 48,515.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,964 : 89,650.44 = 35,156 : x
  2. Step 2: Convert to fraction form
    64,964/89,650.44 = 35,156/x
  3. Step 3: Cross multiply
    64,964x = 89,650.44 × 35,156
  4. Step 4: Simplify right side
    64,964x = 3,151,750,868.64
  5. Step 5: Solve for x
    x = 3,151,750,868.64/64,964
  6. Step 6: Final answer
    x = 48,515.34

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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.