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Finding the Fourth Proportional to 178,957, 268,437.12 and 54,298

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Solution

The fourth proportional to 178,957, 268,437.12 and 54,298 is: 81,447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,957 : 268,437.12 = 54,298 : x
  2. Step 2: Convert to fraction form
    178,957/268,437.12 = 54,298/x
  3. Step 3: Cross multiply
    178,957x = 268,437.12 × 54,298
  4. Step 4: Simplify right side
    178,957x = 14,575,598,741.76
  5. Step 5: Solve for x
    x = 14,575,598,741.76/178,957
  6. Step 6: Final answer
    x = 81,447.49

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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.