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Finding the Fourth Proportional to 123,989.10, 185,996.64 and 52,919.29

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Solution

The fourth proportional to 123,989.10, 185,996.64 and 52,919.29 is: 79,384.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,989.10 : 185,996.64 = 52,919.29 : x
  2. Step 2: Convert to fraction form
    123,989.10/185,996.64 = 52,919.29/x
  3. Step 3: Cross multiply
    123,989.10x = 185,996.64 × 52,919.29
  4. Step 4: Simplify right side
    123,989.10x = 9,842,810,264.46
  5. Step 5: Solve for x
    x = 9,842,810,264.46/123,989.10
  6. Step 6: Final answer
    x = 79,384.48

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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.