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Finding the Fourth Proportional to 81,720, 122,580 and 26,316

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Solution

The fourth proportional to 81,720, 122,580 and 26,316 is: 39,474

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,720 : 122,580 = 26,316 : x
  2. Step 2: Convert to fraction form
    81,720/122,580 = 26,316/x
  3. Step 3: Cross multiply
    81,720x = 122,580 × 26,316
  4. Step 4: Simplify right side
    81,720x = 3,225,815,280
  5. Step 5: Solve for x
    x = 3,225,815,280/81,720
  6. Step 6: Final answer
    x = 39,474

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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.