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Finding the Fourth Proportional to 51,477.60, 77,209.20 and 16,420.80

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Solution

The fourth proportional to 51,477.60, 77,209.20 and 16,420.80 is: 24,628.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,477.60 : 77,209.20 = 16,420.80 : x
  2. Step 2: Convert to fraction form
    51,477.60/77,209.20 = 16,420.80/x
  3. Step 3: Cross multiply
    51,477.60x = 77,209.20 × 16,420.80
  4. Step 4: Simplify right side
    51,477.60x = 1,267,836,831.36
  5. Step 5: Solve for x
    x = 1,267,836,831.36/51,477.60
  6. Step 6: Final answer
    x = 24,628.90

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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.