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Finding the Fourth Proportional to 40,668, 56,117.84 and 22,762.08

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Solution

The fourth proportional to 40,668, 56,117.84 and 22,762.08 is: 31,409.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,668 : 56,117.84 = 22,762.08 : x
  2. Step 2: Convert to fraction form
    40,668/56,117.84 = 22,762.08/x
  3. Step 3: Cross multiply
    40,668x = 56,117.84 × 22,762.08
  4. Step 4: Simplify right side
    40,668x = 1,277,358,763.51
  5. Step 5: Solve for x
    x = 1,277,358,763.51/40,668
  6. Step 6: Final answer
    x = 31,409.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.