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Finding the Fourth Proportional to 43,807.70, 65,716.35 and 42,425.30

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Solution

The fourth proportional to 43,807.70, 65,716.35 and 42,425.30 is: 63,642.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,807.70 : 65,716.35 = 42,425.30 : x
  2. Step 2: Convert to fraction form
    43,807.70/65,716.35 = 42,425.30/x
  3. Step 3: Cross multiply
    43,807.70x = 65,716.35 × 42,425.30
  4. Step 4: Simplify right side
    43,807.70x = 2,788,035,863.66
  5. Step 5: Solve for x
    x = 2,788,035,863.66/43,807.70
  6. Step 6: Final answer
    x = 63,642.60

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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.