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Finding the Fourth Proportional to 133,584.31, 200,362.45 and 70,379

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Solution

The fourth proportional to 133,584.31, 200,362.45 and 70,379 is: 105,561.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,584.31 : 200,362.45 = 70,379 : x
  2. Step 2: Convert to fraction form
    133,584.31/200,362.45 = 70,379/x
  3. Step 3: Cross multiply
    133,584.31x = 200,362.45 × 70,379
  4. Step 4: Simplify right side
    133,584.31x = 14,101,308,868.55
  5. Step 5: Solve for x
    x = 14,101,308,868.55/133,584.31
  6. Step 6: Final answer
    x = 105,561.12

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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.