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Finding the Fourth Proportional to 172,596.72, 258,895.08 and 54,278.40

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Solution

The fourth proportional to 172,596.72, 258,895.08 and 54,278.40 is: 81,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,596.72 : 258,895.08 = 54,278.40 : x
  2. Step 2: Convert to fraction form
    172,596.72/258,895.08 = 54,278.40/x
  3. Step 3: Cross multiply
    172,596.72x = 258,895.08 × 54,278.40
  4. Step 4: Simplify right side
    172,596.72x = 14,052,410,710.27
  5. Step 5: Solve for x
    x = 14,052,410,710.27/172,596.72
  6. Step 6: Final answer
    x = 81,417.60

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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.