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Finding the Fourth Proportional to 85,881.40, 128,833.80 and 29,706.44

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Solution

The fourth proportional to 85,881.40, 128,833.80 and 29,706.44 is: 44,563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,881.40 : 128,833.80 = 29,706.44 : x
  2. Step 2: Convert to fraction form
    85,881.40/128,833.80 = 29,706.44/x
  3. Step 3: Cross multiply
    85,881.40x = 128,833.80 × 29,706.44
  4. Step 4: Simplify right side
    85,881.40x = 3,827,193,549.67
  5. Step 5: Solve for x
    x = 3,827,193,549.67/85,881.40
  6. Step 6: Final answer
    x = 44,563.71

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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.