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Finding the Fourth Proportional to 64,948, 89,628.24 and 35,140

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Solution

The fourth proportional to 64,948, 89,628.24 and 35,140 is: 48,493.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,948 : 89,628.24 = 35,140 : x
  2. Step 2: Convert to fraction form
    64,948/89,628.24 = 35,140/x
  3. Step 3: Cross multiply
    64,948x = 89,628.24 × 35,140
  4. Step 4: Simplify right side
    64,948x = 3,149,536,353.60
  5. Step 5: Solve for x
    x = 3,149,536,353.60/64,948
  6. Step 6: Final answer
    x = 48,493.20

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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.