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Finding the Fourth Proportional to 85,863.40, 128,806.82 and 29,688.43

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Solution

The fourth proportional to 85,863.40, 128,806.82 and 29,688.43 is: 44,536.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,863.40 : 128,806.82 = 29,688.43 : x
  2. Step 2: Convert to fraction form
    85,863.40/128,806.82 = 29,688.43/x
  3. Step 3: Cross multiply
    85,863.40x = 128,806.82 × 29,688.43
  4. Step 4: Simplify right side
    85,863.40x = 3,824,071,803.37
  5. Step 5: Solve for x
    x = 3,824,071,803.37/85,863.40
  6. Step 6: Final answer
    x = 44,536.69

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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.