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Finding the Fourth Proportional to 102,406.20, 153,609.30 and 84,895.80

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Solution

The fourth proportional to 102,406.20, 153,609.30 and 84,895.80 is: 127,343.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,406.20 : 153,609.30 = 84,895.80 : x
  2. Step 2: Convert to fraction form
    102,406.20/153,609.30 = 84,895.80/x
  3. Step 3: Cross multiply
    102,406.20x = 153,609.30 × 84,895.80
  4. Step 4: Simplify right side
    102,406.20x = 13,040,784,410.94
  5. Step 5: Solve for x
    x = 13,040,784,410.94/102,406.20
  6. Step 6: Final answer
    x = 127,343.70

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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.