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Finding the Fourth Proportional to 178,813.40, 267,782.70 and 85,209.80

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Solution

The fourth proportional to 178,813.40, 267,782.70 and 85,209.80 is: 127,606.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,813.40 : 267,782.70 = 85,209.80 : x
  2. Step 2: Convert to fraction form
    178,813.40/267,782.70 = 85,209.80/x
  3. Step 3: Cross multiply
    178,813.40x = 267,782.70 × 85,209.80
  4. Step 4: Simplify right side
    178,813.40x = 22,817,710,310.46
  5. Step 5: Solve for x
    x = 22,817,710,310.46/178,813.40
  6. Step 6: Final answer
    x = 127,606.27

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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.