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Finding the Fourth Proportional to 142,284.60, 212,966.10 and 100,812.60

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Solution

The fourth proportional to 142,284.60, 212,966.10 and 100,812.60 is: 150,892.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,284.60 : 212,966.10 = 100,812.60 : x
  2. Step 2: Convert to fraction form
    142,284.60/212,966.10 = 100,812.60/x
  3. Step 3: Cross multiply
    142,284.60x = 212,966.10 × 100,812.60
  4. Step 4: Simplify right side
    142,284.60x = 21,469,666,252.86
  5. Step 5: Solve for x
    x = 21,469,666,252.86/142,284.60
  6. Step 6: Final answer
    x = 150,892.41

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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.