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Finding the Fourth Proportional to 98,131.61, 147,098.99 and 45,578.00

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Solution

The fourth proportional to 98,131.61, 147,098.99 and 45,578.00 is: 68,321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,131.61 : 147,098.99 = 45,578.00 : x
  2. Step 2: Convert to fraction form
    98,131.61/147,098.99 = 45,578.00/x
  3. Step 3: Cross multiply
    98,131.61x = 147,098.99 × 45,578.00
  4. Step 4: Simplify right side
    98,131.61x = 6,704,476,802.84
  5. Step 5: Solve for x
    x = 6,704,476,802.84/98,131.61
  6. Step 6: Final answer
    x = 68,321.28

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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.