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Finding the Fourth Proportional to 78,393.83, 108,180.98 and 44,405.45

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Solution

The fourth proportional to 78,393.83, 108,180.98 and 44,405.45 is: 61,278.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,393.83 : 108,180.98 = 44,405.45 : x
  2. Step 2: Convert to fraction form
    78,393.83/108,180.98 = 44,405.45/x
  3. Step 3: Cross multiply
    78,393.83x = 108,180.98 × 44,405.45
  4. Step 4: Simplify right side
    78,393.83x = 4,803,825,157.39
  5. Step 5: Solve for x
    x = 4,803,825,157.39/78,393.83
  6. Step 6: Final answer
    x = 61,278.11

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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.