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Finding the Fourth Proportional to 189,281.23, 283,881.71 and 70,961.29

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Solution

The fourth proportional to 189,281.23, 283,881.71 and 70,961.29 is: 106,426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,281.23 : 283,881.71 = 70,961.29 : x
  2. Step 2: Convert to fraction form
    189,281.23/283,881.71 = 70,961.29/x
  3. Step 3: Cross multiply
    189,281.23x = 283,881.71 × 70,961.29
  4. Step 4: Simplify right side
    189,281.23x = 20,144,611,816.70
  5. Step 5: Solve for x
    x = 20,144,611,816.70/189,281.23
  6. Step 6: Final answer
    x = 106,426.89

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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.