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Finding the Fourth Proportional to 106,643, 147,167.34 and 61,933.88

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Solution

The fourth proportional to 106,643, 147,167.34 and 61,933.88 is: 85,468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,643 : 147,167.34 = 61,933.88 : x
  2. Step 2: Convert to fraction form
    106,643/147,167.34 = 61,933.88/x
  3. Step 3: Cross multiply
    106,643x = 147,167.34 × 61,933.88
  4. Step 4: Simplify right side
    106,643x = 9,114,644,375.48
  5. Step 5: Solve for x
    x = 9,114,644,375.48/106,643
  6. Step 6: Final answer
    x = 85,468.75

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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.