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Finding the Fourth Proportional to 312,043.80, 468,065.70 and 125,189.40

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Solution

The fourth proportional to 312,043.80, 468,065.70 and 125,189.40 is: 187,784.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,043.80 : 468,065.70 = 125,189.40 : x
  2. Step 2: Convert to fraction form
    312,043.80/468,065.70 = 125,189.40/x
  3. Step 3: Cross multiply
    312,043.80x = 468,065.70 × 125,189.40
  4. Step 4: Simplify right side
    312,043.80x = 58,596,864,143.58
  5. Step 5: Solve for x
    x = 58,596,864,143.58/312,043.80
  6. Step 6: Final answer
    x = 187,784.10

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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.