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Finding the Fourth Proportional to 109,702.80, 164,559.60 and 57,214.80

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Solution

The fourth proportional to 109,702.80, 164,559.60 and 57,214.80 is: 85,825.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,702.80 : 164,559.60 = 57,214.80 : x
  2. Step 2: Convert to fraction form
    109,702.80/164,559.60 = 57,214.80/x
  3. Step 3: Cross multiply
    109,702.80x = 164,559.60 × 57,214.80
  4. Step 4: Simplify right side
    109,702.80x = 9,415,244,602.08
  5. Step 5: Solve for x
    x = 9,415,244,602.08/109,702.80
  6. Step 6: Final answer
    x = 85,825.02

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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.