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Finding the Fourth Proportional to 77,880, 116,807.20 and 21,723.90

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Solution

The fourth proportional to 77,880, 116,807.20 and 21,723.90 is: 32,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,880 : 116,807.20 = 21,723.90 : x
  2. Step 2: Convert to fraction form
    77,880/116,807.20 = 21,723.90/x
  3. Step 3: Cross multiply
    77,880x = 116,807.20 × 21,723.90
  4. Step 4: Simplify right side
    77,880x = 2,537,507,932.08
  5. Step 5: Solve for x
    x = 2,537,507,932.08/77,880
  6. Step 6: Final answer
    x = 32,582.28

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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.