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Finding the Fourth Proportional to 85,298.70, 127,970.74 and 29,138.72

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Solution

The fourth proportional to 85,298.70, 127,970.74 and 29,138.72 is: 43,715.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,298.70 : 127,970.74 = 29,138.72 : x
  2. Step 2: Convert to fraction form
    85,298.70/127,970.74 = 29,138.72/x
  3. Step 3: Cross multiply
    85,298.70x = 127,970.74 × 29,138.72
  4. Step 4: Simplify right side
    85,298.70x = 3,728,903,513.55
  5. Step 5: Solve for x
    x = 3,728,903,513.55/85,298.70
  6. Step 6: Final answer
    x = 43,715.83

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1.5x scale

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.