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Finding the Fourth Proportional to 45,155, 67,732.50 and 12,323

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Solution

The fourth proportional to 45,155, 67,732.50 and 12,323 is: 18,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,155 : 67,732.50 = 12,323 : x
  2. Step 2: Convert to fraction form
    45,155/67,732.50 = 12,323/x
  3. Step 3: Cross multiply
    45,155x = 67,732.50 × 12,323
  4. Step 4: Simplify right side
    45,155x = 834,667,597.50
  5. Step 5: Solve for x
    x = 834,667,597.50/45,155
  6. Step 6: Final answer
    x = 18,484.50

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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.