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Finding the Fourth Proportional to 92,041, 137,885.60 and 77,143.48

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Solution

The fourth proportional to 92,041, 137,885.60 and 77,143.48 is: 115,567.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,041 : 137,885.60 = 77,143.48 : x
  2. Step 2: Convert to fraction form
    92,041/137,885.60 = 77,143.48/x
  3. Step 3: Cross multiply
    92,041x = 137,885.60 × 77,143.48
  4. Step 4: Simplify right side
    92,041x = 10,636,975,025.89
  5. Step 5: Solve for x
    x = 10,636,975,025.89/92,041
  6. Step 6: Final answer
    x = 115,567.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.