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Finding the Fourth Proportional to 189,200.70, 283,693.05 and 70,875.90

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Solution

The fourth proportional to 189,200.70, 283,693.05 and 70,875.90 is: 106,273.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,200.70 : 283,693.05 = 70,875.90 : x
  2. Step 2: Convert to fraction form
    189,200.70/283,693.05 = 70,875.90/x
  3. Step 3: Cross multiply
    189,200.70x = 283,693.05 × 70,875.90
  4. Step 4: Simplify right side
    189,200.70x = 20,107,000,242.50
  5. Step 5: Solve for x
    x = 20,107,000,242.50/189,200.70
  6. Step 6: Final answer
    x = 106,273.39

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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.