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Finding the Fourth Proportional to 99,974, 137,964.28 and 55,262

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Solution

The fourth proportional to 99,974, 137,964.28 and 55,262 is: 76,261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,974 : 137,964.28 = 55,262 : x
  2. Step 2: Convert to fraction form
    99,974/137,964.28 = 55,262/x
  3. Step 3: Cross multiply
    99,974x = 137,964.28 × 55,262
  4. Step 4: Simplify right side
    99,974x = 7,624,182,041.36
  5. Step 5: Solve for x
    x = 7,624,182,041.36/99,974
  6. Step 6: Final answer
    x = 76,261.65

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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.