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Finding the Fourth Proportional to 230,743.90, 318,426.27 and 130,141.90

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Solution

The fourth proportional to 230,743.90, 318,426.27 and 130,141.90 is: 179,595.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,743.90 : 318,426.27 = 130,141.90 : x
  2. Step 2: Convert to fraction form
    230,743.90/318,426.27 = 130,141.90/x
  3. Step 3: Cross multiply
    230,743.90x = 318,426.27 × 130,141.90
  4. Step 4: Simplify right side
    230,743.90x = 41,440,599,787.71
  5. Step 5: Solve for x
    x = 41,440,599,787.71/230,743.90
  6. Step 6: Final answer
    x = 179,595.65

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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.