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Finding the Fourth Proportional to 106,686.62, 147,164.19 and 68,983.10

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Solution

The fourth proportional to 106,686.62, 147,164.19 and 68,983.10 is: 95,155.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,686.62 : 147,164.19 = 68,983.10 : x
  2. Step 2: Convert to fraction form
    106,686.62/147,164.19 = 68,983.10/x
  3. Step 3: Cross multiply
    106,686.62x = 147,164.19 × 68,983.10
  4. Step 4: Simplify right side
    106,686.62x = 10,151,842,035.19
  5. Step 5: Solve for x
    x = 10,151,842,035.19/106,686.62
  6. Step 6: Final answer
    x = 95,155.72

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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.