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Finding the Fourth Proportional to 103,019.12, 154,541.64 and 36,443.60

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Solution

The fourth proportional to 103,019.12, 154,541.64 and 36,443.60 is: 54,669.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,019.12 : 154,541.64 = 36,443.60 : x
  2. Step 2: Convert to fraction form
    103,019.12/154,541.64 = 36,443.60/x
  3. Step 3: Cross multiply
    103,019.12x = 154,541.64 × 36,443.60
  4. Step 4: Simplify right side
    103,019.12x = 5,632,053,711.50
  5. Step 5: Solve for x
    x = 5,632,053,711.50/103,019.12
  6. Step 6: Final answer
    x = 54,669.98

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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.