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Finding the Fourth Proportional to 105,992.64, 158,642.82 and 77,905.26

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Solution

The fourth proportional to 105,992.64, 158,642.82 and 77,905.26 is: 116,603.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,992.64 : 158,642.82 = 77,905.26 : x
  2. Step 2: Convert to fraction form
    105,992.64/158,642.82 = 77,905.26/x
  3. Step 3: Cross multiply
    105,992.64x = 158,642.82 × 77,905.26
  4. Step 4: Simplify right side
    105,992.64x = 12,359,110,139.23
  5. Step 5: Solve for x
    x = 12,359,110,139.23/105,992.64
  6. Step 6: Final answer
    x = 116,603.47

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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.