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Finding the Fourth Proportional to 85,861.47, 128,829.29 and 46,446.33

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Solution

The fourth proportional to 85,861.47, 128,829.29 and 46,446.33 is: 69,689.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,861.47 : 128,829.29 = 46,446.33 : x
  2. Step 2: Convert to fraction form
    85,861.47/128,829.29 = 46,446.33/x
  3. Step 3: Cross multiply
    85,861.47x = 128,829.29 × 46,446.33
  4. Step 4: Simplify right side
    85,861.47x = 5,983,647,484.77
  5. Step 5: Solve for x
    x = 5,983,647,484.77/85,861.47
  6. Step 6: Final answer
    x = 69,689.55

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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.