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Finding the Fourth Proportional to 77,878.69, 116,827.76 and 30,487.66

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Solution

The fourth proportional to 77,878.69, 116,827.76 and 30,487.66 is: 45,735.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,878.69 : 116,827.76 = 30,487.66 : x
  2. Step 2: Convert to fraction form
    77,878.69/116,827.76 = 30,487.66/x
  3. Step 3: Cross multiply
    77,878.69x = 116,827.76 × 30,487.66
  4. Step 4: Simplify right side
    77,878.69x = 3,561,804,873.00
  5. Step 5: Solve for x
    x = 3,561,804,873.00/77,878.69
  6. Step 6: Final answer
    x = 45,735.30

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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.