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Finding the Fourth Proportional to 82,688, 124,032 and 24,320

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Solution

The fourth proportional to 82,688, 124,032 and 24,320 is: 36,480

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,688 : 124,032 = 24,320 : x
  2. Step 2: Convert to fraction form
    82,688/124,032 = 24,320/x
  3. Step 3: Cross multiply
    82,688x = 124,032 × 24,320
  4. Step 4: Simplify right side
    82,688x = 3,016,458,240
  5. Step 5: Solve for x
    x = 3,016,458,240/82,688
  6. Step 6: Final answer
    x = 36,480

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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.