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Finding the Fourth Proportional to 178,765.78, 268,261.62 and 99,931.72

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Solution

The fourth proportional to 178,765.78, 268,261.62 and 99,931.72 is: 149,960.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,765.78 : 268,261.62 = 99,931.72 : x
  2. Step 2: Convert to fraction form
    178,765.78/268,261.62 = 99,931.72/x
  3. Step 3: Cross multiply
    178,765.78x = 268,261.62 × 99,931.72
  4. Step 4: Simplify right side
    178,765.78x = 26,807,845,096.59
  5. Step 5: Solve for x
    x = 26,807,845,096.59/178,765.78
  6. Step 6: Final answer
    x = 149,960.72

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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.