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Finding the Fourth Proportional to 98,519, 147,829.26 and 54,180.68

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Solution

The fourth proportional to 98,519, 147,829.26 and 54,180.68 is: 81,298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,519 : 147,829.26 = 54,180.68 : x
  2. Step 2: Convert to fraction form
    98,519/147,829.26 = 54,180.68/x
  3. Step 3: Cross multiply
    98,519x = 147,829.26 × 54,180.68
  4. Step 4: Simplify right side
    98,519x = 8,009,489,830.70
  5. Step 5: Solve for x
    x = 8,009,489,830.70/98,519
  6. Step 6: Final answer
    x = 81,298.94

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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.