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Finding the Fourth Proportional to 78,357.64, 117,583.14 and 28,441.62

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Solution

The fourth proportional to 78,357.64, 117,583.14 and 28,441.62 is: 42,679.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,357.64 : 117,583.14 = 28,441.62 : x
  2. Step 2: Convert to fraction form
    78,357.64/117,583.14 = 28,441.62/x
  3. Step 3: Cross multiply
    78,357.64x = 117,583.14 × 28,441.62
  4. Step 4: Simplify right side
    78,357.64x = 3,344,254,986.29
  5. Step 5: Solve for x
    x = 3,344,254,986.29/78,357.64
  6. Step 6: Final answer
    x = 42,679.37

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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.