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Finding the Fourth Proportional to 98,605.10, 147,907.65 and 81,983.90

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Solution

The fourth proportional to 98,605.10, 147,907.65 and 81,983.90 is: 122,975.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,605.10 : 147,907.65 = 81,983.90 : x
  2. Step 2: Convert to fraction form
    98,605.10/147,907.65 = 81,983.90/x
  3. Step 3: Cross multiply
    98,605.10x = 147,907.65 × 81,983.90
  4. Step 4: Simplify right side
    98,605.10x = 12,126,045,986.84
  5. Step 5: Solve for x
    x = 12,126,045,986.84/98,605.10
  6. Step 6: Final answer
    x = 122,975.85

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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.