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Finding the Fourth Proportional to 103,295.20, 154,994 and 40,964.32

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Solution

The fourth proportional to 103,295.20, 154,994 and 40,964.32 is: 61,466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,295.20 : 154,994 = 40,964.32 : x
  2. Step 2: Convert to fraction form
    103,295.20/154,994 = 40,964.32/x
  3. Step 3: Cross multiply
    103,295.20x = 154,994 × 40,964.32
  4. Step 4: Simplify right side
    103,295.20x = 6,349,223,814.08
  5. Step 5: Solve for x
    x = 6,349,223,814.08/103,295.20
  6. Step 6: Final answer
    x = 61,466.78

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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.