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Finding the Fourth Proportional to 258,901.80, 388,352.70 and 71,913.30

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Solution

The fourth proportional to 258,901.80, 388,352.70 and 71,913.30 is: 107,869.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,901.80 : 388,352.70 = 71,913.30 : x
  2. Step 2: Convert to fraction form
    258,901.80/388,352.70 = 71,913.30/x
  3. Step 3: Cross multiply
    258,901.80x = 388,352.70 × 71,913.30
  4. Step 4: Simplify right side
    258,901.80x = 27,927,724,220.91
  5. Step 5: Solve for x
    x = 27,927,724,220.91/258,901.80
  6. Step 6: Final answer
    x = 107,869.95

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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.