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Finding the Fourth Proportional to 108,378, 149,653.98 and 68,159.07

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Solution

The fourth proportional to 108,378, 149,653.98 and 68,159.07 is: 94,117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,378 : 149,653.98 = 68,159.07 : x
  2. Step 2: Convert to fraction form
    108,378/149,653.98 = 68,159.07/x
  3. Step 3: Cross multiply
    108,378x = 149,653.98 × 68,159.07
  4. Step 4: Simplify right side
    108,378x = 10,200,276,098.60
  5. Step 5: Solve for x
    x = 10,200,276,098.60/108,378
  6. Step 6: Final answer
    x = 94,117.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.