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Finding the Fourth Proportional to 77,065.71, 106,336.85 and 43,074.87

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Solution

The fourth proportional to 77,065.71, 106,336.85 and 43,074.87 is: 59,435.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,065.71 : 106,336.85 = 43,074.87 : x
  2. Step 2: Convert to fraction form
    77,065.71/106,336.85 = 43,074.87/x
  3. Step 3: Cross multiply
    77,065.71x = 106,336.85 × 43,074.87
  4. Step 4: Simplify right side
    77,065.71x = 4,580,445,774.59
  5. Step 5: Solve for x
    x = 4,580,445,774.59/77,065.71
  6. Step 6: Final answer
    x = 59,435.59

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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.