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Finding the Fourth Proportional to 178,804.40, 268,206.60 and 54,145.40

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Solution

The fourth proportional to 178,804.40, 268,206.60 and 54,145.40 is: 81,218.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,804.40 : 268,206.60 = 54,145.40 : x
  2. Step 2: Convert to fraction form
    178,804.40/268,206.60 = 54,145.40/x
  3. Step 3: Cross multiply
    178,804.40x = 268,206.60 × 54,145.40
  4. Step 4: Simplify right side
    178,804.40x = 14,522,153,639.64
  5. Step 5: Solve for x
    x = 14,522,153,639.64/178,804.40
  6. Step 6: Final answer
    x = 81,218.10

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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.