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Finding the Fourth Proportional to 102,535.80, 143,200.20 and 102,535.80

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Solution

The fourth proportional to 102,535.80, 143,200.20 and 102,535.80 is: 143,200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,535.80 : 143,200.20 = 102,535.80 : x
  2. Step 2: Convert to fraction form
    102,535.80/143,200.20 = 102,535.80/x
  3. Step 3: Cross multiply
    102,535.80x = 143,200.20 × 102,535.80
  4. Step 4: Simplify right side
    102,535.80x = 14,683,147,067.16
  5. Step 5: Solve for x
    x = 14,683,147,067.16/102,535.80
  6. Step 6: Final answer
    x = 143,200.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.