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Finding the Fourth Proportional to 77,802.44, 116,703.76 and 21,642.55

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Solution

The fourth proportional to 77,802.44, 116,703.76 and 21,642.55 is: 32,463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,802.44 : 116,703.76 = 21,642.55 : x
  2. Step 2: Convert to fraction form
    77,802.44/116,703.76 = 21,642.55/x
  3. Step 3: Cross multiply
    77,802.44x = 116,703.76 × 21,642.55
  4. Step 4: Simplify right side
    77,802.44x = 2,525,766,960.99
  5. Step 5: Solve for x
    x = 2,525,766,960.99/77,802.44
  6. Step 6: Final answer
    x = 32,463.85

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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.