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Finding the Fourth Proportional to 102,564.40, 153,846.60 and 86,234.80

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Solution

The fourth proportional to 102,564.40, 153,846.60 and 86,234.80 is: 129,352.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,564.40 : 153,846.60 = 86,234.80 : x
  2. Step 2: Convert to fraction form
    102,564.40/153,846.60 = 86,234.80/x
  3. Step 3: Cross multiply
    102,564.40x = 153,846.60 × 86,234.80
  4. Step 4: Simplify right side
    102,564.40x = 13,266,930,781.68
  5. Step 5: Solve for x
    x = 13,266,930,781.68/102,564.40
  6. Step 6: Final answer
    x = 129,352.20

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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.