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Finding the Fourth Proportional to 178,426, 267,742.68 and 79,930

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Solution

The fourth proportional to 178,426, 267,742.68 and 79,930 is: 119,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,426 : 267,742.68 = 79,930 : x
  2. Step 2: Convert to fraction form
    178,426/267,742.68 = 79,930/x
  3. Step 3: Cross multiply
    178,426x = 267,742.68 × 79,930
  4. Step 4: Simplify right side
    178,426x = 21,400,672,412.40
  5. Step 5: Solve for x
    x = 21,400,672,412.40/178,426
  6. Step 6: Final answer
    x = 119,941.45

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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.