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Finding the Fourth Proportional to 65,810.86, 98,716.21 and 21,437.54

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Solution

The fourth proportional to 65,810.86, 98,716.21 and 21,437.54 is: 32,156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,810.86 : 98,716.21 = 21,437.54 : x
  2. Step 2: Convert to fraction form
    65,810.86/98,716.21 = 21,437.54/x
  3. Step 3: Cross multiply
    65,810.86x = 98,716.21 × 21,437.54
  4. Step 4: Simplify right side
    65,810.86x = 2,116,232,583.83
  5. Step 5: Solve for x
    x = 2,116,232,583.83/65,810.86
  6. Step 6: Final answer
    x = 32,156.28

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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.