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Finding the Fourth Proportional to 84,707.76, 127,064.28 and 31,413

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Solution

The fourth proportional to 84,707.76, 127,064.28 and 31,413 is: 47,120.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,707.76 : 127,064.28 = 31,413 : x
  2. Step 2: Convert to fraction form
    84,707.76/127,064.28 = 31,413/x
  3. Step 3: Cross multiply
    84,707.76x = 127,064.28 × 31,413
  4. Step 4: Simplify right side
    84,707.76x = 3,991,470,227.64
  5. Step 5: Solve for x
    x = 3,991,470,227.64/84,707.76
  6. Step 6: Final answer
    x = 47,120.48

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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.