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Finding the Fourth Proportional to 162,029.60, 243,044.40 and 102,672.80

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Solution

The fourth proportional to 162,029.60, 243,044.40 and 102,672.80 is: 154,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,029.60 : 243,044.40 = 102,672.80 : x
  2. Step 2: Convert to fraction form
    162,029.60/243,044.40 = 102,672.80/x
  3. Step 3: Cross multiply
    162,029.60x = 243,044.40 × 102,672.80
  4. Step 4: Simplify right side
    162,029.60x = 24,954,049,072.32
  5. Step 5: Solve for x
    x = 24,954,049,072.32/162,029.60
  6. Step 6: Final answer
    x = 154,009.20

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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.