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Finding the Fourth Proportional to 178,238.40, 267,415.20 and 119,140.80

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Solution

The fourth proportional to 178,238.40, 267,415.20 and 119,140.80 is: 178,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,238.40 : 267,415.20 = 119,140.80 : x
  2. Step 2: Convert to fraction form
    178,238.40/267,415.20 = 119,140.80/x
  3. Step 3: Cross multiply
    178,238.40x = 267,415.20 × 119,140.80
  4. Step 4: Simplify right side
    178,238.40x = 31,860,060,860.16
  5. Step 5: Solve for x
    x = 31,860,060,860.16/178,238.40
  6. Step 6: Final answer
    x = 178,749.70

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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.