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Finding the Fourth Proportional to 141,471.96, 195,225.24 and 77,805.64

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Solution

The fourth proportional to 141,471.96, 195,225.24 and 77,805.64 is: 107,368.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,471.96 : 195,225.24 = 77,805.64 : x
  2. Step 2: Convert to fraction form
    141,471.96/195,225.24 = 77,805.64/x
  3. Step 3: Cross multiply
    141,471.96x = 195,225.24 × 77,805.64
  4. Step 4: Simplify right side
    141,471.96x = 15,189,624,742.35
  5. Step 5: Solve for x
    x = 15,189,624,742.35/141,471.96
  6. Step 6: Final answer
    x = 107,368.45

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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.