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Finding the Fourth Proportional to 102,021.60, 152,686.80 and 102,021.60

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Solution

The fourth proportional to 102,021.60, 152,686.80 and 102,021.60 is: 152,686.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,021.60 : 152,686.80 = 102,021.60 : x
  2. Step 2: Convert to fraction form
    102,021.60/152,686.80 = 102,021.60/x
  3. Step 3: Cross multiply
    102,021.60x = 152,686.80 × 102,021.60
  4. Step 4: Simplify right side
    102,021.60x = 15,577,351,634.88
  5. Step 5: Solve for x
    x = 15,577,351,634.88/102,021.60
  6. Step 6: Final answer
    x = 152,686.80

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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.