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Finding the Fourth Proportional to 70,409, 97,140.50 and 40,172.60

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Solution

The fourth proportional to 70,409, 97,140.50 and 40,172.60 is: 55,424.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,409 : 97,140.50 = 40,172.60 : x
  2. Step 2: Convert to fraction form
    70,409/97,140.50 = 40,172.60/x
  3. Step 3: Cross multiply
    70,409x = 97,140.50 × 40,172.60
  4. Step 4: Simplify right side
    70,409x = 3,902,386,450.30
  5. Step 5: Solve for x
    x = 3,902,386,450.30/70,409
  6. Step 6: Final answer
    x = 55,424.54

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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.