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Finding the Fourth Proportional to 176,639.84, 264,959.76 and 102,716

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Solution

The fourth proportional to 176,639.84, 264,959.76 and 102,716 is: 154,074

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,639.84 : 264,959.76 = 102,716 : x
  2. Step 2: Convert to fraction form
    176,639.84/264,959.76 = 102,716/x
  3. Step 3: Cross multiply
    176,639.84x = 264,959.76 × 102,716
  4. Step 4: Simplify right side
    176,639.84x = 27,215,606,708.16
  5. Step 5: Solve for x
    x = 27,215,606,708.16/176,639.84
  6. Step 6: Final answer
    x = 154,074

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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.