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Finding the Fourth Proportional to 43,807.12, 65,703.49 and 12,219.32

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Solution

The fourth proportional to 43,807.12, 65,703.49 and 12,219.32 is: 18,326.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,807.12 : 65,703.49 = 12,219.32 : x
  2. Step 2: Convert to fraction form
    43,807.12/65,703.49 = 12,219.32/x
  3. Step 3: Cross multiply
    43,807.12x = 65,703.49 × 12,219.32
  4. Step 4: Simplify right side
    43,807.12x = 802,852,103.14
  5. Step 5: Solve for x
    x = 802,852,103.14/43,807.12
  6. Step 6: Final answer
    x = 18,326.98

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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.