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Finding the Fourth Proportional to 97,638.60, 146,133.90 and 70,908.60

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Solution

The fourth proportional to 97,638.60, 146,133.90 and 70,908.60 is: 106,127.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,638.60 : 146,133.90 = 70,908.60 : x
  2. Step 2: Convert to fraction form
    97,638.60/146,133.90 = 70,908.60/x
  3. Step 3: Cross multiply
    97,638.60x = 146,133.90 × 70,908.60
  4. Step 4: Simplify right side
    97,638.60x = 10,362,150,261.54
  5. Step 5: Solve for x
    x = 10,362,150,261.54/97,638.60
  6. Step 6: Final answer
    x = 106,127.60

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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.