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Finding the Fourth Proportional to 53,147.40, 79,702.20 and 23,512.20

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Solution

The fourth proportional to 53,147.40, 79,702.20 and 23,512.20 is: 35,259.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,147.40 : 79,702.20 = 23,512.20 : x
  2. Step 2: Convert to fraction form
    53,147.40/79,702.20 = 23,512.20/x
  3. Step 3: Cross multiply
    53,147.40x = 79,702.20 × 23,512.20
  4. Step 4: Simplify right side
    53,147.40x = 1,873,974,066.84
  5. Step 5: Solve for x
    x = 1,873,974,066.84/53,147.40
  6. Step 6: Final answer
    x = 35,259.94

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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.