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Finding the Fourth Proportional to 70,642.40, 105,877.20 and 31,157.60

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Solution

The fourth proportional to 70,642.40, 105,877.20 and 31,157.60 is: 46,698.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,642.40 : 105,877.20 = 31,157.60 : x
  2. Step 2: Convert to fraction form
    70,642.40/105,877.20 = 31,157.60/x
  3. Step 3: Cross multiply
    70,642.40x = 105,877.20 × 31,157.60
  4. Step 4: Simplify right side
    70,642.40x = 3,298,879,446.72
  5. Step 5: Solve for x
    x = 3,298,879,446.72/70,642.40
  6. Step 6: Final answer
    x = 46,698.29

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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.