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Finding the Fourth Proportional to 103,719.36, 155,639.40 and 43,744.08

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Solution

The fourth proportional to 103,719.36, 155,639.40 and 43,744.08 is: 65,641.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,719.36 : 155,639.40 = 43,744.08 : x
  2. Step 2: Convert to fraction form
    103,719.36/155,639.40 = 43,744.08/x
  3. Step 3: Cross multiply
    103,719.36x = 155,639.40 × 43,744.08
  4. Step 4: Simplify right side
    103,719.36x = 6,808,302,364.75
  5. Step 5: Solve for x
    x = 6,808,302,364.75/103,719.36
  6. Step 6: Final answer
    x = 65,641.58

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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.