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Finding the Fourth Proportional to 312,019.80, 468,029.70 and 125,165.40

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Solution

The fourth proportional to 312,019.80, 468,029.70 and 125,165.40 is: 187,748.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,019.80 : 468,029.70 = 125,165.40 : x
  2. Step 2: Convert to fraction form
    312,019.80/468,029.70 = 125,165.40/x
  3. Step 3: Cross multiply
    312,019.80x = 468,029.70 × 125,165.40
  4. Step 4: Simplify right side
    312,019.80x = 58,581,124,612.38
  5. Step 5: Solve for x
    x = 58,581,124,612.38/312,019.80
  6. Step 6: Final answer
    x = 187,748.10

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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.