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Finding the Fourth Proportional to 78,840, 108,817.68 and 51,987.36

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Solution

The fourth proportional to 78,840, 108,817.68 and 51,987.36 is: 71,754.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,840 : 108,817.68 = 51,987.36 : x
  2. Step 2: Convert to fraction form
    78,840/108,817.68 = 51,987.36/x
  3. Step 3: Cross multiply
    78,840x = 108,817.68 × 51,987.36
  4. Step 4: Simplify right side
    78,840x = 5,657,143,904.52
  5. Step 5: Solve for x
    x = 5,657,143,904.52/78,840
  6. Step 6: Final answer
    x = 71,754.74

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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.