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Finding the Fourth Proportional to 109,754.84, 164,642 and 30,869.72

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Solution

The fourth proportional to 109,754.84, 164,642 and 30,869.72 is: 46,307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,754.84 : 164,642 = 30,869.72 : x
  2. Step 2: Convert to fraction form
    109,754.84/164,642 = 30,869.72/x
  3. Step 3: Cross multiply
    109,754.84x = 164,642 × 30,869.72
  4. Step 4: Simplify right side
    109,754.84x = 5,082,452,440.24
  5. Step 5: Solve for x
    x = 5,082,452,440.24/109,754.84
  6. Step 6: Final answer
    x = 46,307.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.