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Finding the Fourth Proportional to 103,986.40, 156,004.80 and 30,114.40

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Solution

The fourth proportional to 103,986.40, 156,004.80 and 30,114.40 is: 45,178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,986.40 : 156,004.80 = 30,114.40 : x
  2. Step 2: Convert to fraction form
    103,986.40/156,004.80 = 30,114.40/x
  3. Step 3: Cross multiply
    103,986.40x = 156,004.80 × 30,114.40
  4. Step 4: Simplify right side
    103,986.40x = 4,697,990,949.12
  5. Step 5: Solve for x
    x = 4,697,990,949.12/103,986.40
  6. Step 6: Final answer
    x = 45,178.90

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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.