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Finding the Fourth Proportional to 107,049.60, 147,776.40 and 76,982.40

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Solution

The fourth proportional to 107,049.60, 147,776.40 and 76,982.40 is: 106,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,049.60 : 147,776.40 = 76,982.40 : x
  2. Step 2: Convert to fraction form
    107,049.60/147,776.40 = 76,982.40/x
  3. Step 3: Cross multiply
    107,049.60x = 147,776.40 × 76,982.40
  4. Step 4: Simplify right side
    107,049.60x = 11,376,181,935.36
  5. Step 5: Solve for x
    x = 11,376,181,935.36/107,049.60
  6. Step 6: Final answer
    x = 106,270.20

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1.5x scale

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.