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Finding the Fourth Proportional to 192,464.16, 288,612 and 102,487.92

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Solution

The fourth proportional to 192,464.16, 288,612 and 102,487.92 is: 153,687.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,464.16 : 288,612 = 102,487.92 : x
  2. Step 2: Convert to fraction form
    192,464.16/288,612 = 102,487.92/x
  3. Step 3: Cross multiply
    192,464.16x = 288,612 × 102,487.92
  4. Step 4: Simplify right side
    192,464.16x = 29,579,243,567.04
  5. Step 5: Solve for x
    x = 29,579,243,567.04/192,464.16
  6. Step 6: Final answer
    x = 153,687.02

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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.