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Finding the Fourth Proportional to 106,152.36, 159,290.60 and 39,638.40

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Solution

The fourth proportional to 106,152.36, 159,290.60 and 39,638.40 is: 59,480.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,152.36 : 159,290.60 = 39,638.40 : x
  2. Step 2: Convert to fraction form
    106,152.36/159,290.60 = 39,638.40/x
  3. Step 3: Cross multiply
    106,152.36x = 159,290.60 × 39,638.40
  4. Step 4: Simplify right side
    106,152.36x = 6,314,024,519.04
  5. Step 5: Solve for x
    x = 6,314,024,519.04/106,152.36
  6. Step 6: Final answer
    x = 59,480.77

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