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Finding the Fourth Proportional to 64,962, 89,647.56 and 35,154

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Solution

The fourth proportional to 64,962, 89,647.56 and 35,154 is: 48,512.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,962 : 89,647.56 = 35,154 : x
  2. Step 2: Convert to fraction form
    64,962/89,647.56 = 35,154/x
  3. Step 3: Cross multiply
    64,962x = 89,647.56 × 35,154
  4. Step 4: Simplify right side
    64,962x = 3,151,470,324.24
  5. Step 5: Solve for x
    x = 3,151,470,324.24/64,962
  6. Step 6: Final answer
    x = 48,512.52

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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.