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Finding the Fourth Proportional to 143,184.32, 197,564.32 and 86,584.64

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Solution

The fourth proportional to 143,184.32, 197,564.32 and 86,584.64 is: 119,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,184.32 : 197,564.32 = 86,584.64 : x
  2. Step 2: Convert to fraction form
    143,184.32/197,564.32 = 86,584.64/x
  3. Step 3: Cross multiply
    143,184.32x = 197,564.32 × 86,584.64
  4. Step 4: Simplify right side
    143,184.32x = 17,106,035,524.04
  5. Step 5: Solve for x
    x = 17,106,035,524.04/143,184.32
  6. Step 6: Final answer
    x = 119,468.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.