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Finding the Fourth Proportional to 72,807.84, 109,192.08 and 31,245.12

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Solution

The fourth proportional to 72,807.84, 109,192.08 and 31,245.12 is: 46,859.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,807.84 : 109,192.08 = 31,245.12 : x
  2. Step 2: Convert to fraction form
    72,807.84/109,192.08 = 31,245.12/x
  3. Step 3: Cross multiply
    72,807.84x = 109,192.08 × 31,245.12
  4. Step 4: Simplify right side
    72,807.84x = 3,411,719,642.65
  5. Step 5: Solve for x
    x = 3,411,719,642.65/72,807.84
  6. Step 6: Final answer
    x = 46,859.23

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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.