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Finding the Fourth Proportional to 65,795.86, 98,707.11 and 21,410.70

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Solution

The fourth proportional to 65,795.86, 98,707.11 and 21,410.70 is: 32,120.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,795.86 : 98,707.11 = 21,410.70 : x
  2. Step 2: Convert to fraction form
    65,795.86/98,707.11 = 21,410.70/x
  3. Step 3: Cross multiply
    65,795.86x = 98,707.11 × 21,410.70
  4. Step 4: Simplify right side
    65,795.86x = 2,113,387,869.64
  5. Step 5: Solve for x
    x = 2,113,387,869.64/65,795.86
  6. Step 6: Final answer
    x = 32,120.38

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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.