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Finding the Fourth Proportional to 78,797.97, 118,023.21 and 65,133.93

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Solution

The fourth proportional to 78,797.97, 118,023.21 and 65,133.93 is: 97,557.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,797.97 : 118,023.21 = 65,133.93 : x
  2. Step 2: Convert to fraction form
    78,797.97/118,023.21 = 65,133.93/x
  3. Step 3: Cross multiply
    78,797.97x = 118,023.21 × 65,133.93
  4. Step 4: Simplify right side
    78,797.97x = 7,687,315,498.52
  5. Step 5: Solve for x
    x = 7,687,315,498.52/78,797.97
  6. Step 6: Final answer
    x = 97,557.28

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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.