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Finding the Fourth Proportional to 99,968, 137,957.28 and 55,256

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Solution

The fourth proportional to 99,968, 137,957.28 and 55,256 is: 76,254.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,968 : 137,957.28 = 55,256 : x
  2. Step 2: Convert to fraction form
    99,968/137,957.28 = 55,256/x
  3. Step 3: Cross multiply
    99,968x = 137,957.28 × 55,256
  4. Step 4: Simplify right side
    99,968x = 7,622,967,463.68
  5. Step 5: Solve for x
    x = 7,622,967,463.68/99,968
  6. Step 6: Final answer
    x = 76,254.08

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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.