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Finding the Fourth Proportional to 178,307.20, 267,460.80 and 143,315.20

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Solution

The fourth proportional to 178,307.20, 267,460.80 and 143,315.20 is: 214,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,307.20 : 267,460.80 = 143,315.20 : x
  2. Step 2: Convert to fraction form
    178,307.20/267,460.80 = 143,315.20/x
  3. Step 3: Cross multiply
    178,307.20x = 267,460.80 × 143,315.20
  4. Step 4: Simplify right side
    178,307.20x = 38,331,198,044.16
  5. Step 5: Solve for x
    x = 38,331,198,044.16/178,307.20
  6. Step 6: Final answer
    x = 214,972.80

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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.