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Finding the Fourth Proportional to 106,645, 147,170.10 and 61,935.88

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Solution

The fourth proportional to 106,645, 147,170.10 and 61,935.88 is: 85,471.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,645 : 147,170.10 = 61,935.88 : x
  2. Step 2: Convert to fraction form
    106,645/147,170.10 = 61,935.88/x
  3. Step 3: Cross multiply
    106,645x = 147,170.10 × 61,935.88
  4. Step 4: Simplify right side
    106,645x = 9,115,109,653.19
  5. Step 5: Solve for x
    x = 9,115,109,653.19/106,645
  6. Step 6: Final answer
    x = 85,471.51

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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.