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Finding the Fourth Proportional to 80,783.90, 120,916.65 and 57,455.90

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Solution

The fourth proportional to 80,783.90, 120,916.65 and 57,455.90 is: 85,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,783.90 : 120,916.65 = 57,455.90 : x
  2. Step 2: Convert to fraction form
    80,783.90/120,916.65 = 57,455.90/x
  3. Step 3: Cross multiply
    80,783.90x = 120,916.65 × 57,455.90
  4. Step 4: Simplify right side
    80,783.90x = 6,947,374,950.74
  5. Step 5: Solve for x
    x = 6,947,374,950.74/80,783.90
  6. Step 6: Final answer
    x = 85,999.50

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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.