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Finding the Fourth Proportional to 115,969.28, 173,926.64 and 65,390.04

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Solution

The fourth proportional to 115,969.28, 173,926.64 and 65,390.04 is: 98,069.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,969.28 : 173,926.64 = 65,390.04 : x
  2. Step 2: Convert to fraction form
    115,969.28/173,926.64 = 65,390.04/x
  3. Step 3: Cross multiply
    115,969.28x = 173,926.64 × 65,390.04
  4. Step 4: Simplify right side
    115,969.28x = 11,373,069,946.67
  5. Step 5: Solve for x
    x = 11,373,069,946.67/115,969.28
  6. Step 6: Final answer
    x = 98,069.68

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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.