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Finding the Fourth Proportional to 178,964, 268,447.62 and 54,305

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Solution

The fourth proportional to 178,964, 268,447.62 and 54,305 is: 81,457.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,964 : 268,447.62 = 54,305 : x
  2. Step 2: Convert to fraction form
    178,964/268,447.62 = 54,305/x
  3. Step 3: Cross multiply
    178,964x = 268,447.62 × 54,305
  4. Step 4: Simplify right side
    178,964x = 14,578,048,004.10
  5. Step 5: Solve for x
    x = 14,578,048,004.10/178,964
  6. Step 6: Final answer
    x = 81,457.99

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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.