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Finding the Fourth Proportional to 77,765.91, 107,315.73 and 43,774.31

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Solution

The fourth proportional to 77,765.91, 107,315.73 and 43,774.31 is: 60,407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,765.91 : 107,315.73 = 43,774.31 : x
  2. Step 2: Convert to fraction form
    77,765.91/107,315.73 = 43,774.31/x
  3. Step 3: Cross multiply
    77,765.91x = 107,315.73 × 43,774.31
  4. Step 4: Simplify right side
    77,765.91x = 4,697,671,496.32
  5. Step 5: Solve for x
    x = 4,697,671,496.32/77,765.91
  6. Step 6: Final answer
    x = 60,407.85

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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.