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Finding the Fourth Proportional to 100,892.12, 151,259.70 and 65,278.19

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Solution

The fourth proportional to 100,892.12, 151,259.70 and 65,278.19 is: 97,866.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,892.12 : 151,259.70 = 65,278.19 : x
  2. Step 2: Convert to fraction form
    100,892.12/151,259.70 = 65,278.19/x
  3. Step 3: Cross multiply
    100,892.12x = 151,259.70 × 65,278.19
  4. Step 4: Simplify right side
    100,892.12x = 9,873,958,679.64
  5. Step 5: Solve for x
    x = 9,873,958,679.64/100,892.12
  6. Step 6: Final answer
    x = 97,866.51

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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.