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Finding the Fourth Proportional to 72,089.76, 107,989.64 and 35,957.28

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Solution

The fourth proportional to 72,089.76, 107,989.64 and 35,957.28 is: 53,863.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,089.76 : 107,989.64 = 35,957.28 : x
  2. Step 2: Convert to fraction form
    72,089.76/107,989.64 = 35,957.28/x
  3. Step 3: Cross multiply
    72,089.76x = 107,989.64 × 35,957.28
  4. Step 4: Simplify right side
    72,089.76x = 3,883,013,722.58
  5. Step 5: Solve for x
    x = 3,883,013,722.58/72,089.76
  6. Step 6: Final answer
    x = 53,863.60

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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.