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Finding the Fourth Proportional to 286,019.16, 429,054 and 106,106.64

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Solution

The fourth proportional to 286,019.16, 429,054 and 106,106.64 is: 159,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,019.16 : 429,054 = 106,106.64 : x
  2. Step 2: Convert to fraction form
    286,019.16/429,054 = 106,106.64/x
  3. Step 3: Cross multiply
    286,019.16x = 429,054 × 106,106.64
  4. Step 4: Simplify right side
    286,019.16x = 45,525,478,318.56
  5. Step 5: Solve for x
    x = 45,525,478,318.56/286,019.16
  6. Step 6: Final answer
    x = 159,169.33

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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.