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Finding the Fourth Proportional to 96,638.40, 145,346.40 and 86,529.60

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Solution

The fourth proportional to 96,638.40, 145,346.40 and 86,529.60 is: 130,142.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,638.40 : 145,346.40 = 86,529.60 : x
  2. Step 2: Convert to fraction form
    96,638.40/145,346.40 = 86,529.60/x
  3. Step 3: Cross multiply
    96,638.40x = 145,346.40 × 86,529.60
  4. Step 4: Simplify right side
    96,638.40x = 12,576,765,853.44
  5. Step 5: Solve for x
    x = 12,576,765,853.44/96,638.40
  6. Step 6: Final answer
    x = 130,142.53

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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.