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Finding the Fourth Proportional to 77,787, 107,346.60 and 44,253

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Solution

The fourth proportional to 77,787, 107,346.60 and 44,253 is: 61,069.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,787 : 107,346.60 = 44,253 : x
  2. Step 2: Convert to fraction form
    77,787/107,346.60 = 44,253/x
  3. Step 3: Cross multiply
    77,787x = 107,346.60 × 44,253
  4. Step 4: Simplify right side
    77,787x = 4,750,409,089.80
  5. Step 5: Solve for x
    x = 4,750,409,089.80/77,787
  6. Step 6: Final answer
    x = 61,069.45

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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.