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Finding the Fourth Proportional to 65,184.68, 89,928.06 and 39,670.58

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Solution

The fourth proportional to 65,184.68, 89,928.06 and 39,670.58 is: 54,729.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,184.68 : 89,928.06 = 39,670.58 : x
  2. Step 2: Convert to fraction form
    65,184.68/89,928.06 = 39,670.58/x
  3. Step 3: Cross multiply
    65,184.68x = 89,928.06 × 39,670.58
  4. Step 4: Simplify right side
    65,184.68x = 3,567,498,298.47
  5. Step 5: Solve for x
    x = 3,567,498,298.47/65,184.68
  6. Step 6: Final answer
    x = 54,729.09

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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.