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Finding the Fourth Proportional to 65,912, 90,971.20 and 51,543.36

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Solution

The fourth proportional to 65,912, 90,971.20 and 51,543.36 is: 71,139.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,912 : 90,971.20 = 51,543.36 : x
  2. Step 2: Convert to fraction form
    65,912/90,971.20 = 51,543.36/x
  3. Step 3: Cross multiply
    65,912x = 90,971.20 × 51,543.36
  4. Step 4: Simplify right side
    65,912x = 4,688,961,311.23
  5. Step 5: Solve for x
    x = 4,688,961,311.23/65,912
  6. Step 6: Final answer
    x = 71,139.72

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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.