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Finding the Fourth Proportional to 178,668.19, 246,491.78 and 102,146.17

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Solution

The fourth proportional to 178,668.19, 246,491.78 and 102,146.17 is: 140,921.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,668.19 : 246,491.78 = 102,146.17 : x
  2. Step 2: Convert to fraction form
    178,668.19/246,491.78 = 102,146.17/x
  3. Step 3: Cross multiply
    178,668.19x = 246,491.78 × 102,146.17
  4. Step 4: Simplify right side
    178,668.19x = 25,178,190,598.69
  5. Step 5: Solve for x
    x = 25,178,190,598.69/178,668.19
  6. Step 6: Final answer
    x = 140,921.51

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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.