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Finding the Fourth Proportional to 189,308.84, 283,880.39 and 70,897.14

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Solution

The fourth proportional to 189,308.84, 283,880.39 and 70,897.14 is: 106,314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,308.84 : 283,880.39 = 70,897.14 : x
  2. Step 2: Convert to fraction form
    189,308.84/283,880.39 = 70,897.14/x
  3. Step 3: Cross multiply
    189,308.84x = 283,880.39 × 70,897.14
  4. Step 4: Simplify right side
    189,308.84x = 20,126,307,398.60
  5. Step 5: Solve for x
    x = 20,126,307,398.60/189,308.84
  6. Step 6: Final answer
    x = 106,314.68

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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.