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Finding the Fourth Proportional to 178,940.16, 268,256.64 and 99,989.76

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Solution

The fourth proportional to 178,940.16, 268,256.64 and 99,989.76 is: 149,898.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,940.16 : 268,256.64 = 99,989.76 : x
  2. Step 2: Convert to fraction form
    178,940.16/268,256.64 = 99,989.76/x
  3. Step 3: Cross multiply
    178,940.16x = 268,256.64 × 99,989.76
  4. Step 4: Simplify right side
    178,940.16x = 26,822,917,052.01
  5. Step 5: Solve for x
    x = 26,822,917,052.01/178,940.16
  6. Step 6: Final answer
    x = 149,898.81

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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.