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Finding the Fourth Proportional to 141,775.20, 212,662.80 and 102,700.80

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Solution

The fourth proportional to 141,775.20, 212,662.80 and 102,700.80 is: 154,051.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,775.20 : 212,662.80 = 102,700.80 : x
  2. Step 2: Convert to fraction form
    141,775.20/212,662.80 = 102,700.80/x
  3. Step 3: Cross multiply
    141,775.20x = 212,662.80 × 102,700.80
  4. Step 4: Simplify right side
    141,775.20x = 21,840,639,690.24
  5. Step 5: Solve for x
    x = 21,840,639,690.24/141,775.20
  6. Step 6: Final answer
    x = 154,051.20

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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.