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Finding the Fourth Proportional to 70,322.40, 105,429.60 and 35,287.20

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Solution

The fourth proportional to 70,322.40, 105,429.60 and 35,287.20 is: 52,903.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,322.40 : 105,429.60 = 35,287.20 : x
  2. Step 2: Convert to fraction form
    70,322.40/105,429.60 = 35,287.20/x
  3. Step 3: Cross multiply
    70,322.40x = 105,429.60 × 35,287.20
  4. Step 4: Simplify right side
    70,322.40x = 3,720,315,381.12
  5. Step 5: Solve for x
    x = 3,720,315,381.12/70,322.40
  6. Step 6: Final answer
    x = 52,903.70

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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.