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Finding the Fourth Proportional to 229,702.94, 317,007.76 and 137,825.65

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Solution

The fourth proportional to 229,702.94, 317,007.76 and 137,825.65 is: 190,210.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,702.94 : 317,007.76 = 137,825.65 : x
  2. Step 2: Convert to fraction form
    229,702.94/317,007.76 = 137,825.65/x
  3. Step 3: Cross multiply
    229,702.94x = 317,007.76 × 137,825.65
  4. Step 4: Simplify right side
    229,702.94x = 43,691,800,577.04
  5. Step 5: Solve for x
    x = 43,691,800,577.04/229,702.94
  6. Step 6: Final answer
    x = 190,210.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.