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Finding the Fourth Proportional to 73,415.60, 102,989.20 and 73,415.60

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Solution

The fourth proportional to 73,415.60, 102,989.20 and 73,415.60 is: 102,989.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,415.60 : 102,989.20 = 73,415.60 : x
  2. Step 2: Convert to fraction form
    73,415.60/102,989.20 = 73,415.60/x
  3. Step 3: Cross multiply
    73,415.60x = 102,989.20 × 73,415.60
  4. Step 4: Simplify right side
    73,415.60x = 7,561,013,911.52
  5. Step 5: Solve for x
    x = 7,561,013,911.52/73,415.60
  6. Step 6: Final answer
    x = 102,989.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.