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Finding the Fourth Proportional to 77,309.82, 105,888.17 and 72,770.58

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Solution

The fourth proportional to 77,309.82, 105,888.17 and 72,770.58 is: 99,670.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,309.82 : 105,888.17 = 72,770.58 : x
  2. Step 2: Convert to fraction form
    77,309.82/105,888.17 = 72,770.58/x
  3. Step 3: Cross multiply
    77,309.82x = 105,888.17 × 72,770.58
  4. Step 4: Simplify right side
    77,309.82x = 7,705,543,182.19
  5. Step 5: Solve for x
    x = 7,705,543,182.19/77,309.82
  6. Step 6: Final answer
    x = 99,670.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.