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Finding the Fourth Proportional to 65,782.84, 98,686.43 and 20,815.51

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Solution

The fourth proportional to 65,782.84, 98,686.43 and 20,815.51 is: 31,227.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,782.84 : 98,686.43 = 20,815.51 : x
  2. Step 2: Convert to fraction form
    65,782.84/98,686.43 = 20,815.51/x
  3. Step 3: Cross multiply
    65,782.84x = 98,686.43 × 20,815.51
  4. Step 4: Simplify right side
    65,782.84x = 2,054,208,370.53
  5. Step 5: Solve for x
    x = 2,054,208,370.53/65,782.84
  6. Step 6: Final answer
    x = 31,227.12

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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.