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Finding the Fourth Proportional to 103,698.30, 155,446.32 and 56,270.52

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Solution

The fourth proportional to 103,698.30, 155,446.32 and 56,270.52 is: 84,350.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,698.30 : 155,446.32 = 56,270.52 : x
  2. Step 2: Convert to fraction form
    103,698.30/155,446.32 = 56,270.52/x
  3. Step 3: Cross multiply
    103,698.30x = 155,446.32 × 56,270.52
  4. Step 4: Simplify right side
    103,698.30x = 8,747,045,258.49
  5. Step 5: Solve for x
    x = 8,747,045,258.49/103,698.30
  6. Step 6: Final answer
    x = 84,350.90

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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.