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Finding the Fourth Proportional to 78,116.82, 107,803.02 and 45,860.58

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Solution

The fourth proportional to 78,116.82, 107,803.02 and 45,860.58 is: 63,288.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,116.82 : 107,803.02 = 45,860.58 : x
  2. Step 2: Convert to fraction form
    78,116.82/107,803.02 = 45,860.58/x
  3. Step 3: Cross multiply
    78,116.82x = 107,803.02 × 45,860.58
  4. Step 4: Simplify right side
    78,116.82x = 4,943,909,022.95
  5. Step 5: Solve for x
    x = 4,943,909,022.95/78,116.82
  6. Step 6: Final answer
    x = 63,288.66

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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.