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Finding the Fourth Proportional to 109,958.40, 164,899.20 and 57,350.40

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Solution

The fourth proportional to 109,958.40, 164,899.20 and 57,350.40 is: 86,005.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,958.40 : 164,899.20 = 57,350.40 : x
  2. Step 2: Convert to fraction form
    109,958.40/164,899.20 = 57,350.40/x
  3. Step 3: Cross multiply
    109,958.40x = 164,899.20 × 57,350.40
  4. Step 4: Simplify right side
    109,958.40x = 9,457,035,079.68
  5. Step 5: Solve for x
    x = 9,457,035,079.68/109,958.40
  6. Step 6: Final answer
    x = 86,005.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.