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Finding the Fourth Proportional to 288,103.72, 432,201.66 and 121,893.16

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Solution

The fourth proportional to 288,103.72, 432,201.66 and 121,893.16 is: 182,859.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,103.72 : 432,201.66 = 121,893.16 : x
  2. Step 2: Convert to fraction form
    288,103.72/432,201.66 = 121,893.16/x
  3. Step 3: Cross multiply
    288,103.72x = 432,201.66 × 121,893.16
  4. Step 4: Simplify right side
    288,103.72x = 52,682,426,094.65
  5. Step 5: Solve for x
    x = 52,682,426,094.65/288,103.72
  6. Step 6: Final answer
    x = 182,859.24

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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.