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Finding the Fourth Proportional to 64,788.64, 89,414.08 and 42,138.88

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Solution

The fourth proportional to 64,788.64, 89,414.08 and 42,138.88 is: 58,155.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,788.64 : 89,414.08 = 42,138.88 : x
  2. Step 2: Convert to fraction form
    64,788.64/89,414.08 = 42,138.88/x
  3. Step 3: Cross multiply
    64,788.64x = 89,414.08 × 42,138.88
  4. Step 4: Simplify right side
    64,788.64x = 3,767,809,187.43
  5. Step 5: Solve for x
    x = 3,767,809,187.43/64,788.64
  6. Step 6: Final answer
    x = 58,155.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.