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Finding the Fourth Proportional to 64,885, 89,541.32 and 35,077

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Solution

The fourth proportional to 64,885, 89,541.32 and 35,077 is: 48,406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,885 : 89,541.32 = 35,077 : x
  2. Step 2: Convert to fraction form
    64,885/89,541.32 = 35,077/x
  3. Step 3: Cross multiply
    64,885x = 89,541.32 × 35,077
  4. Step 4: Simplify right side
    64,885x = 3,140,840,881.64
  5. Step 5: Solve for x
    x = 3,140,840,881.64/64,885
  6. Step 6: Final answer
    x = 48,406.27

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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.