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Finding the Fourth Proportional to 81,492.90, 122,567.40 and 72,963.60

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Solution

The fourth proportional to 81,492.90, 122,567.40 and 72,963.60 is: 109,739.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,492.90 : 122,567.40 = 72,963.60 : x
  2. Step 2: Convert to fraction form
    81,492.90/122,567.40 = 72,963.60/x
  3. Step 3: Cross multiply
    81,492.90x = 122,567.40 × 72,963.60
  4. Step 4: Simplify right side
    81,492.90x = 8,942,958,746.64
  5. Step 5: Solve for x
    x = 8,942,958,746.64/81,492.90
  6. Step 6: Final answer
    x = 109,739.12

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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.