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Finding the Fourth Proportional to 77,427, 106,843.50 and 43,892.28

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Solution

The fourth proportional to 77,427, 106,843.50 and 43,892.28 is: 60,568.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,427 : 106,843.50 = 43,892.28 : x
  2. Step 2: Convert to fraction form
    77,427/106,843.50 = 43,892.28/x
  3. Step 3: Cross multiply
    77,427x = 106,843.50 × 43,892.28
  4. Step 4: Simplify right side
    77,427x = 4,689,604,818.18
  5. Step 5: Solve for x
    x = 4,689,604,818.18/77,427
  6. Step 6: Final answer
    x = 60,568.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.