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Finding the Fourth Proportional to 101,784.15, 140,487.89 and 65,510.19

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Solution

The fourth proportional to 101,784.15, 140,487.89 and 65,510.19 is: 90,420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,784.15 : 140,487.89 = 65,510.19 : x
  2. Step 2: Convert to fraction form
    101,784.15/140,487.89 = 65,510.19/x
  3. Step 3: Cross multiply
    101,784.15x = 140,487.89 × 65,510.19
  4. Step 4: Simplify right side
    101,784.15x = 9,203,388,039.05
  5. Step 5: Solve for x
    x = 9,203,388,039.05/101,784.15
  6. Step 6: Final answer
    x = 90,420.64

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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.