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Finding the Fourth Proportional to 162,243, 243,364.50 and 51,435

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Solution

The fourth proportional to 162,243, 243,364.50 and 51,435 is: 77,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,243 : 243,364.50 = 51,435 : x
  2. Step 2: Convert to fraction form
    162,243/243,364.50 = 51,435/x
  3. Step 3: Cross multiply
    162,243x = 243,364.50 × 51,435
  4. Step 4: Simplify right side
    162,243x = 12,517,453,057.50
  5. Step 5: Solve for x
    x = 12,517,453,057.50/162,243
  6. Step 6: Final answer
    x = 77,152.50

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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.