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Finding the Fourth Proportional to 178,980, 268,528.56 and 54,321.12

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Solution

The fourth proportional to 178,980, 268,528.56 and 54,321.12 is: 81,499.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,980 : 268,528.56 = 54,321.12 : x
  2. Step 2: Convert to fraction form
    178,980/268,528.56 = 54,321.12/x
  3. Step 3: Cross multiply
    178,980x = 268,528.56 × 54,321.12
  4. Step 4: Simplify right side
    178,980x = 14,586,772,131.19
  5. Step 5: Solve for x
    x = 14,586,772,131.19/178,980
  6. Step 6: Final answer
    x = 81,499.45

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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.