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Finding the Fourth Proportional to 162,232.50, 243,009.31 and 130,470.88

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Solution

The fourth proportional to 162,232.50, 243,009.31 and 130,470.88 is: 195,433.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,232.50 : 243,009.31 = 130,470.88 : x
  2. Step 2: Convert to fraction form
    162,232.50/243,009.31 = 130,470.88/x
  3. Step 3: Cross multiply
    162,232.50x = 243,009.31 × 130,470.88
  4. Step 4: Simplify right side
    162,232.50x = 31,705,638,523.89
  5. Step 5: Solve for x
    x = 31,705,638,523.89/162,232.50
  6. Step 6: Final answer
    x = 195,433.34

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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.