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Finding the Fourth Proportional to 178,836, 246,800.16 and 102,369.12

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Solution

The fourth proportional to 178,836, 246,800.16 and 102,369.12 is: 141,273.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,836 : 246,800.16 = 102,369.12 : x
  2. Step 2: Convert to fraction form
    178,836/246,800.16 = 102,369.12/x
  3. Step 3: Cross multiply
    178,836x = 246,800.16 × 102,369.12
  4. Step 4: Simplify right side
    178,836x = 25,264,715,195.06
  5. Step 5: Solve for x
    x = 25,264,715,195.06/178,836
  6. Step 6: Final answer
    x = 141,273.09

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1.5x scale

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.