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Finding the Fourth Proportional to 142,368.64, 213,682.32 and 75,865.60

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Solution

The fourth proportional to 142,368.64, 213,682.32 and 75,865.60 is: 113,867.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,368.64 : 213,682.32 = 75,865.60 : x
  2. Step 2: Convert to fraction form
    142,368.64/213,682.32 = 75,865.60/x
  3. Step 3: Cross multiply
    142,368.64x = 213,682.32 × 75,865.60
  4. Step 4: Simplify right side
    142,368.64x = 16,211,137,416.19
  5. Step 5: Solve for x
    x = 16,211,137,416.19/142,368.64
  6. Step 6: Final answer
    x = 113,867.33

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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.