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Finding the Fourth Proportional to 97,163.40, 145,658.70 and 57,678.60

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Solution

The fourth proportional to 97,163.40, 145,658.70 and 57,678.60 is: 86,466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,163.40 : 145,658.70 = 57,678.60 : x
  2. Step 2: Convert to fraction form
    97,163.40/145,658.70 = 57,678.60/x
  3. Step 3: Cross multiply
    97,163.40x = 145,658.70 × 57,678.60
  4. Step 4: Simplify right side
    97,163.40x = 8,401,389,893.82
  5. Step 5: Solve for x
    x = 8,401,389,893.82/97,163.40
  6. Step 6: Final answer
    x = 86,466.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.