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Finding the Fourth Proportional to 178,142.40, 266,986.80 and 72,842.40

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Solution

The fourth proportional to 178,142.40, 266,986.80 and 72,842.40 is: 109,170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,142.40 : 266,986.80 = 72,842.40 : x
  2. Step 2: Convert to fraction form
    178,142.40/266,986.80 = 72,842.40/x
  3. Step 3: Cross multiply
    178,142.40x = 266,986.80 × 72,842.40
  4. Step 4: Simplify right side
    178,142.40x = 19,447,959,280.32
  5. Step 5: Solve for x
    x = 19,447,959,280.32/178,142.40
  6. Step 6: Final answer
    x = 109,170.86

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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.