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Finding the Fourth Proportional to 114,870.65, 172,314.20 and 30,630.38

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Solution

The fourth proportional to 114,870.65, 172,314.20 and 30,630.38 is: 45,947.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,870.65 : 172,314.20 = 30,630.38 : x
  2. Step 2: Convert to fraction form
    114,870.65/172,314.20 = 30,630.38/x
  3. Step 3: Cross multiply
    114,870.65x = 172,314.20 × 30,630.38
  4. Step 4: Simplify right side
    114,870.65x = 5,278,048,640.40
  5. Step 5: Solve for x
    x = 5,278,048,640.40/114,870.65
  6. Step 6: Final answer
    x = 45,947.76

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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.