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Finding the Fourth Proportional to 106,671.96, 147,022.20 and 77,944.68

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Solution

The fourth proportional to 106,671.96, 147,022.20 and 77,944.68 is: 107,428.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,671.96 : 147,022.20 = 77,944.68 : x
  2. Step 2: Convert to fraction form
    106,671.96/147,022.20 = 77,944.68/x
  3. Step 3: Cross multiply
    106,671.96x = 147,022.20 × 77,944.68
  4. Step 4: Simplify right side
    106,671.96x = 11,459,598,331.90
  5. Step 5: Solve for x
    x = 11,459,598,331.90/106,671.96
  6. Step 6: Final answer
    x = 107,428.40

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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.