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Finding the Fourth Proportional to 144,163.92, 216,245.88 and 65,276.40

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Solution

The fourth proportional to 144,163.92, 216,245.88 and 65,276.40 is: 97,914.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,163.92 : 216,245.88 = 65,276.40 : x
  2. Step 2: Convert to fraction form
    144,163.92/216,245.88 = 65,276.40/x
  3. Step 3: Cross multiply
    144,163.92x = 216,245.88 × 65,276.40
  4. Step 4: Simplify right side
    144,163.92x = 14,115,752,561.23
  5. Step 5: Solve for x
    x = 14,115,752,561.23/144,163.92
  6. Step 6: Final answer
    x = 97,914.60

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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.