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Finding the Fourth Proportional to 106,688.56, 147,259.20 and 63,119.20

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Solution

The fourth proportional to 106,688.56, 147,259.20 and 63,119.20 is: 87,121.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,688.56 : 147,259.20 = 63,119.20 : x
  2. Step 2: Convert to fraction form
    106,688.56/147,259.20 = 63,119.20/x
  3. Step 3: Cross multiply
    106,688.56x = 147,259.20 × 63,119.20
  4. Step 4: Simplify right side
    106,688.56x = 9,294,882,896.64
  5. Step 5: Solve for x
    x = 9,294,882,896.64/106,688.56
  6. Step 6: Final answer
    x = 87,121.65

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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.