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Finding the Fourth Proportional to 84,747, 127,120.50 and 29,343

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Solution

The fourth proportional to 84,747, 127,120.50 and 29,343 is: 44,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,747 : 127,120.50 = 29,343 : x
  2. Step 2: Convert to fraction form
    84,747/127,120.50 = 29,343/x
  3. Step 3: Cross multiply
    84,747x = 127,120.50 × 29,343
  4. Step 4: Simplify right side
    84,747x = 3,730,096,831.50
  5. Step 5: Solve for x
    x = 3,730,096,831.50/84,747
  6. Step 6: Final answer
    x = 44,014.50

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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.