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Finding the Fourth Proportional to 85,931.70, 128,638.35 and 75,563.70

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Solution

The fourth proportional to 85,931.70, 128,638.35 and 75,563.70 is: 113,117.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,931.70 : 128,638.35 = 75,563.70 : x
  2. Step 2: Convert to fraction form
    85,931.70/128,638.35 = 75,563.70/x
  3. Step 3: Cross multiply
    85,931.70x = 128,638.35 × 75,563.70
  4. Step 4: Simplify right side
    85,931.70x = 9,720,389,687.90
  5. Step 5: Solve for x
    x = 9,720,389,687.90/85,931.70
  6. Step 6: Final answer
    x = 113,117.62

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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.