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Finding the Fourth Proportional to 82,680, 124,020 and 24,312

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Solution

The fourth proportional to 82,680, 124,020 and 24,312 is: 36,468

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,680 : 124,020 = 24,312 : x
  2. Step 2: Convert to fraction form
    82,680/124,020 = 24,312/x
  3. Step 3: Cross multiply
    82,680x = 124,020 × 24,312
  4. Step 4: Simplify right side
    82,680x = 3,015,174,240
  5. Step 5: Solve for x
    x = 3,015,174,240/82,680
  6. Step 6: Final answer
    x = 36,468

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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.