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Finding the Fourth Proportional to 106,642, 147,165.96 and 61,932.88

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Solution

The fourth proportional to 106,642, 147,165.96 and 61,932.88 is: 85,467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,642 : 147,165.96 = 61,932.88 : x
  2. Step 2: Convert to fraction form
    106,642/147,165.96 = 61,932.88/x
  3. Step 3: Cross multiply
    106,642x = 147,165.96 × 61,932.88
  4. Step 4: Simplify right side
    106,642x = 9,114,411,740.76
  5. Step 5: Solve for x
    x = 9,114,411,740.76/106,642
  6. Step 6: Final answer
    x = 85,467.37

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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.