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Finding the Fourth Proportional to 64,965.12, 89,653.44 and 36,671.20

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Solution

The fourth proportional to 64,965.12, 89,653.44 and 36,671.20 is: 50,607.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,965.12 : 89,653.44 = 36,671.20 : x
  2. Step 2: Convert to fraction form
    64,965.12/89,653.44 = 36,671.20/x
  3. Step 3: Cross multiply
    64,965.12x = 89,653.44 × 36,671.20
  4. Step 4: Simplify right side
    64,965.12x = 3,287,699,228.93
  5. Step 5: Solve for x
    x = 3,287,699,228.93/64,965.12
  6. Step 6: Final answer
    x = 50,607.14

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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.