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Finding the Fourth Proportional to 72,820.80, 109,231.20 and 49,492.80

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Solution

The fourth proportional to 72,820.80, 109,231.20 and 49,492.80 is: 74,239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,820.80 : 109,231.20 = 49,492.80 : x
  2. Step 2: Convert to fraction form
    72,820.80/109,231.20 = 49,492.80/x
  3. Step 3: Cross multiply
    72,820.80x = 109,231.20 × 49,492.80
  4. Step 4: Simplify right side
    72,820.80x = 5,406,157,935.36
  5. Step 5: Solve for x
    x = 5,406,157,935.36/72,820.80
  6. Step 6: Final answer
    x = 74,239.20

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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.