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Finding the Fourth Proportional to 210,816, 316,224 and 63,072

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Solution

The fourth proportional to 210,816, 316,224 and 63,072 is: 94,608

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,816 : 316,224 = 63,072 : x
  2. Step 2: Convert to fraction form
    210,816/316,224 = 63,072/x
  3. Step 3: Cross multiply
    210,816x = 316,224 × 63,072
  4. Step 4: Simplify right side
    210,816x = 19,944,880,128
  5. Step 5: Solve for x
    x = 19,944,880,128/210,816
  6. Step 6: Final answer
    x = 94,608

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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.