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Finding the Fourth Proportional to 78,827.70, 108,782.61 and 43,018.46

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Solution

The fourth proportional to 78,827.70, 108,782.61 and 43,018.46 is: 59,365.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,827.70 : 108,782.61 = 43,018.46 : x
  2. Step 2: Convert to fraction form
    78,827.70/108,782.61 = 43,018.46/x
  3. Step 3: Cross multiply
    78,827.70x = 108,782.61 × 43,018.46
  4. Step 4: Simplify right side
    78,827.70x = 4,679,659,813.07
  5. Step 5: Solve for x
    x = 4,679,659,813.07/78,827.70
  6. Step 6: Final answer
    x = 59,365.68

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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.