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Finding the Fourth Proportional to 141,652.55, 195,473.09 and 77,978.04

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Solution

The fourth proportional to 141,652.55, 195,473.09 and 77,978.04 is: 107,605.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,652.55 : 195,473.09 = 77,978.04 : x
  2. Step 2: Convert to fraction form
    141,652.55/195,473.09 = 77,978.04/x
  3. Step 3: Cross multiply
    141,652.55x = 195,473.09 × 77,978.04
  4. Step 4: Simplify right side
    141,652.55x = 15,242,608,041.05
  5. Step 5: Solve for x
    x = 15,242,608,041.05/141,652.55
  6. Step 6: Final answer
    x = 107,605.61

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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.