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Finding the Fourth Proportional to 65,292.16, 97,876.10 and 20,890.28

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Solution

The fourth proportional to 65,292.16, 97,876.10 and 20,890.28 is: 31,315.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,292.16 : 97,876.10 = 20,890.28 : x
  2. Step 2: Convert to fraction form
    65,292.16/97,876.10 = 20,890.28/x
  3. Step 3: Cross multiply
    65,292.16x = 97,876.10 × 20,890.28
  4. Step 4: Simplify right side
    65,292.16x = 2,044,659,134.31
  5. Step 5: Solve for x
    x = 2,044,659,134.31/65,292.16
  6. Step 6: Final answer
    x = 31,315.54

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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.