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Finding the Fourth Proportional to 102,546.30, 143,214.90 and 102,546.30

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Solution

The fourth proportional to 102,546.30, 143,214.90 and 102,546.30 is: 143,214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,546.30 : 143,214.90 = 102,546.30 : x
  2. Step 2: Convert to fraction form
    102,546.30/143,214.90 = 102,546.30/x
  3. Step 3: Cross multiply
    102,546.30x = 143,214.90 × 102,546.30
  4. Step 4: Simplify right side
    102,546.30x = 14,686,158,099.87
  5. Step 5: Solve for x
    x = 14,686,158,099.87/102,546.30
  6. Step 6: Final answer
    x = 143,214.90

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1.5x scale

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.