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Finding the Fourth Proportional to 229,780.70, 316,967.94 and 137,876.21

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Solution

The fourth proportional to 229,780.70, 316,967.94 and 137,876.21 is: 190,191.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,780.70 : 316,967.94 = 137,876.21 : x
  2. Step 2: Convert to fraction form
    229,780.70/316,967.94 = 137,876.21/x
  3. Step 3: Cross multiply
    229,780.70x = 316,967.94 × 137,876.21
  4. Step 4: Simplify right side
    229,780.70x = 43,702,336,673.87
  5. Step 5: Solve for x
    x = 43,702,336,673.87/229,780.70
  6. Step 6: Final answer
    x = 190,191.51

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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.