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Finding the Fourth Proportional to 102,528.80, 153,649.20 and 81,504.80

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Solution

The fourth proportional to 102,528.80, 153,649.20 and 81,504.80 is: 122,142.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,528.80 : 153,649.20 = 81,504.80 : x
  2. Step 2: Convert to fraction form
    102,528.80/153,649.20 = 81,504.80/x
  3. Step 3: Cross multiply
    102,528.80x = 153,649.20 × 81,504.80
  4. Step 4: Simplify right side
    102,528.80x = 12,523,147,316.16
  5. Step 5: Solve for x
    x = 12,523,147,316.16/102,528.80
  6. Step 6: Final answer
    x = 122,142.73

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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.