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Finding the Fourth Proportional to 213,216, 294,264 and 123,792

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Solution

The fourth proportional to 213,216, 294,264 and 123,792 is: 170,848.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,216 : 294,264 = 123,792 : x
  2. Step 2: Convert to fraction form
    213,216/294,264 = 123,792/x
  3. Step 3: Cross multiply
    213,216x = 294,264 × 123,792
  4. Step 4: Simplify right side
    213,216x = 36,427,529,088
  5. Step 5: Solve for x
    x = 36,427,529,088/213,216
  6. Step 6: Final answer
    x = 170,848.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.