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Finding the Fourth Proportional to 82,356.95, 123,672.12 and 51,389.03

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Solution

The fourth proportional to 82,356.95, 123,672.12 and 51,389.03 is: 77,168.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,356.95 : 123,672.12 = 51,389.03 : x
  2. Step 2: Convert to fraction form
    82,356.95/123,672.12 = 51,389.03/x
  3. Step 3: Cross multiply
    82,356.95x = 123,672.12 × 51,389.03
  4. Step 4: Simplify right side
    82,356.95x = 6,355,390,401.32
  5. Step 5: Solve for x
    x = 6,355,390,401.32/82,356.95
  6. Step 6: Final answer
    x = 77,168.84

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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.