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Finding the Fourth Proportional to 65,686.62, 98,543.77 and 21,309.91

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Solution

The fourth proportional to 65,686.62, 98,543.77 and 21,309.91 is: 31,969.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,686.62 : 98,543.77 = 21,309.91 : x
  2. Step 2: Convert to fraction form
    65,686.62/98,543.77 = 21,309.91/x
  3. Step 3: Cross multiply
    65,686.62x = 98,543.77 × 21,309.91
  4. Step 4: Simplify right side
    65,686.62x = 2,099,958,869.76
  5. Step 5: Solve for x
    x = 2,099,958,869.76/65,686.62
  6. Step 6: Final answer
    x = 31,969.35

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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.