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Finding the Fourth Proportional to 78,072.96, 107,802.80 and 72,102.44

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Solution

The fourth proportional to 78,072.96, 107,802.80 and 72,102.44 is: 99,558.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,072.96 : 107,802.80 = 72,102.44 : x
  2. Step 2: Convert to fraction form
    78,072.96/107,802.80 = 72,102.44/x
  3. Step 3: Cross multiply
    78,072.96x = 107,802.80 × 72,102.44
  4. Step 4: Simplify right side
    78,072.96x = 7,772,844,918.83
  5. Step 5: Solve for x
    x = 7,772,844,918.83/78,072.96
  6. Step 6: Final answer
    x = 99,558.73

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1.5x scale

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.