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Finding the Fourth Proportional to 70,935.97, 106,216.24 and 42,818.44

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Solution

The fourth proportional to 70,935.97, 106,216.24 and 42,818.44 is: 64,114.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,935.97 : 106,216.24 = 42,818.44 : x
  2. Step 2: Convert to fraction form
    70,935.97/106,216.24 = 42,818.44/x
  3. Step 3: Cross multiply
    70,935.97x = 106,216.24 × 42,818.44
  4. Step 4: Simplify right side
    70,935.97x = 4,548,013,699.47
  5. Step 5: Solve for x
    x = 4,548,013,699.47/70,935.97
  6. Step 6: Final answer
    x = 64,114.35

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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.