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Finding the Fourth Proportional to 76,677.90, 105,812.91 and 43,137.42

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Solution

The fourth proportional to 76,677.90, 105,812.91 and 43,137.42 is: 59,528.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,677.90 : 105,812.91 = 43,137.42 : x
  2. Step 2: Convert to fraction form
    76,677.90/105,812.91 = 43,137.42/x
  3. Step 3: Cross multiply
    76,677.90x = 105,812.91 × 43,137.42
  4. Step 4: Simplify right side
    76,677.90x = 4,564,495,940.09
  5. Step 5: Solve for x
    x = 4,564,495,940.09/76,677.90
  6. Step 6: Final answer
    x = 59,528.18

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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.