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Finding the Fourth Proportional to 105,770.40, 145,978.20 and 65,497.20

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Solution

The fourth proportional to 105,770.40, 145,978.20 and 65,497.20 is: 90,395.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,770.40 : 145,978.20 = 65,497.20 : x
  2. Step 2: Convert to fraction form
    105,770.40/145,978.20 = 65,497.20/x
  3. Step 3: Cross multiply
    105,770.40x = 145,978.20 × 65,497.20
  4. Step 4: Simplify right side
    105,770.40x = 9,561,163,361.04
  5. Step 5: Solve for x
    x = 9,561,163,361.04/105,770.40
  6. Step 6: Final answer
    x = 90,395.45

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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.