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Finding the Fourth Proportional to 65,803.61, 98,712.32 and 21,433.82

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Solution

The fourth proportional to 65,803.61, 98,712.32 and 21,433.82 is: 32,152.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,803.61 : 98,712.32 = 21,433.82 : x
  2. Step 2: Convert to fraction form
    65,803.61/98,712.32 = 21,433.82/x
  3. Step 3: Cross multiply
    65,803.61x = 98,712.32 × 21,433.82
  4. Step 4: Simplify right side
    65,803.61x = 2,115,781,658.69
  5. Step 5: Solve for x
    x = 2,115,781,658.69/65,803.61
  6. Step 6: Final answer
    x = 32,152.97

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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.