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Finding the Fourth Proportional to 229,853.70, 317,200.05 and 127,890.90

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Solution

The fourth proportional to 229,853.70, 317,200.05 and 127,890.90 is: 176,490.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,853.70 : 317,200.05 = 127,890.90 : x
  2. Step 2: Convert to fraction form
    229,853.70/317,200.05 = 127,890.90/x
  3. Step 3: Cross multiply
    229,853.70x = 317,200.05 × 127,890.90
  4. Step 4: Simplify right side
    229,853.70x = 40,566,999,874.55
  5. Step 5: Solve for x
    x = 40,566,999,874.55/229,853.70
  6. Step 6: Final answer
    x = 176,490.52

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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.