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Finding the Fourth Proportional to 84,832.70, 127,168.05 and 31,510.40

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Solution

The fourth proportional to 84,832.70, 127,168.05 and 31,510.40 is: 47,235.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,832.70 : 127,168.05 = 31,510.40 : x
  2. Step 2: Convert to fraction form
    84,832.70/127,168.05 = 31,510.40/x
  3. Step 3: Cross multiply
    84,832.70x = 127,168.05 × 31,510.40
  4. Step 4: Simplify right side
    84,832.70x = 4,007,116,122.72
  5. Step 5: Solve for x
    x = 4,007,116,122.72/84,832.70
  6. Step 6: Final answer
    x = 47,235.51

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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.