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Finding the Fourth Proportional to 82,763.40, 124,145.10 and 77,579.40

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Solution

The fourth proportional to 82,763.40, 124,145.10 and 77,579.40 is: 116,369.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,763.40 : 124,145.10 = 77,579.40 : x
  2. Step 2: Convert to fraction form
    82,763.40/124,145.10 = 77,579.40/x
  3. Step 3: Cross multiply
    82,763.40x = 124,145.10 × 77,579.40
  4. Step 4: Simplify right side
    82,763.40x = 9,631,102,370.94
  5. Step 5: Solve for x
    x = 9,631,102,370.94/82,763.40
  6. Step 6: Final answer
    x = 116,369.10

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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.