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Finding the Fourth Proportional to 71,236.16, 106,814.76 and 29,145.76

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Solution

The fourth proportional to 71,236.16, 106,814.76 and 29,145.76 is: 43,702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,236.16 : 106,814.76 = 29,145.76 : x
  2. Step 2: Convert to fraction form
    71,236.16/106,814.76 = 29,145.76/x
  3. Step 3: Cross multiply
    71,236.16x = 106,814.76 × 29,145.76
  4. Step 4: Simplify right side
    71,236.16x = 3,113,197,359.42
  5. Step 5: Solve for x
    x = 3,113,197,359.42/71,236.16
  6. Step 6: Final answer
    x = 43,702.49

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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.