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Finding the Fourth Proportional to 121,496.22, 182,078.04 and 77,153.90

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Solution

The fourth proportional to 121,496.22, 182,078.04 and 77,153.90 is: 115,625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,496.22 : 182,078.04 = 77,153.90 : x
  2. Step 2: Convert to fraction form
    121,496.22/182,078.04 = 77,153.90/x
  3. Step 3: Cross multiply
    121,496.22x = 182,078.04 × 77,153.90
  4. Step 4: Simplify right side
    121,496.22x = 14,048,030,890.36
  5. Step 5: Solve for x
    x = 14,048,030,890.36/121,496.22
  6. Step 6: Final answer
    x = 115,625.25

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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.