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Finding the Fourth Proportional to 105,995.64, 158,647.32 and 77,908.26

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Solution

The fourth proportional to 105,995.64, 158,647.32 and 77,908.26 is: 116,607.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,995.64 : 158,647.32 = 77,908.26 : x
  2. Step 2: Convert to fraction form
    105,995.64/158,647.32 = 77,908.26/x
  3. Step 3: Cross multiply
    105,995.64x = 158,647.32 × 77,908.26
  4. Step 4: Simplify right side
    105,995.64x = 12,359,936,654.86
  5. Step 5: Solve for x
    x = 12,359,936,654.86/105,995.64
  6. Step 6: Final answer
    x = 116,607.97

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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.