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Finding the Fourth Proportional to 105,740.80, 145,845.80 and 89,800

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Solution

The fourth proportional to 105,740.80, 145,845.80 and 89,800 is: 123,859.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,740.80 : 145,845.80 = 89,800 : x
  2. Step 2: Convert to fraction form
    105,740.80/145,845.80 = 89,800/x
  3. Step 3: Cross multiply
    105,740.80x = 145,845.80 × 89,800
  4. Step 4: Simplify right side
    105,740.80x = 13,096,952,840.00
  5. Step 5: Solve for x
    x = 13,096,952,840.00/105,740.80
  6. Step 6: Final answer
    x = 123,859.03

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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.