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Finding the Fourth Proportional to 162,002.70, 243,004.05 and 102,905.10

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Solution

The fourth proportional to 162,002.70, 243,004.05 and 102,905.10 is: 154,357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,002.70 : 243,004.05 = 102,905.10 : x
  2. Step 2: Convert to fraction form
    162,002.70/243,004.05 = 102,905.10/x
  3. Step 3: Cross multiply
    162,002.70x = 243,004.05 × 102,905.10
  4. Step 4: Simplify right side
    162,002.70x = 25,006,356,065.66
  5. Step 5: Solve for x
    x = 25,006,356,065.66/162,002.70
  6. Step 6: Final answer
    x = 154,357.65

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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.