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Finding the Fourth Proportional to 65,097, 89,834.40 and 35,289

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Solution

The fourth proportional to 65,097, 89,834.40 and 35,289 is: 48,699.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,097 : 89,834.40 = 35,289 : x
  2. Step 2: Convert to fraction form
    65,097/89,834.40 = 35,289/x
  3. Step 3: Cross multiply
    65,097x = 89,834.40 × 35,289
  4. Step 4: Simplify right side
    65,097x = 3,170,166,141.60
  5. Step 5: Solve for x
    x = 3,170,166,141.60/65,097
  6. Step 6: Final answer
    x = 48,699.11

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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.