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Finding the Fourth Proportional to 65,078.64, 89,816.40 and 36,784.08

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Solution

The fourth proportional to 65,078.64, 89,816.40 and 36,784.08 is: 50,766.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,078.64 : 89,816.40 = 36,784.08 : x
  2. Step 2: Convert to fraction form
    65,078.64/89,816.40 = 36,784.08/x
  3. Step 3: Cross multiply
    65,078.64x = 89,816.40 × 36,784.08
  4. Step 4: Simplify right side
    65,078.64x = 3,303,813,642.91
  5. Step 5: Solve for x
    x = 3,303,813,642.91/65,078.64
  6. Step 6: Final answer
    x = 50,766.48

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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.