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Finding the Fourth Proportional to 76,812.83, 106,003.64 and 42,826.85

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Solution

The fourth proportional to 76,812.83, 106,003.64 and 42,826.85 is: 59,102.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,812.83 : 106,003.64 = 42,826.85 : x
  2. Step 2: Convert to fraction form
    76,812.83/106,003.64 = 42,826.85/x
  3. Step 3: Cross multiply
    76,812.83x = 106,003.64 × 42,826.85
  4. Step 4: Simplify right side
    76,812.83x = 4,539,801,566.78
  5. Step 5: Solve for x
    x = 4,539,801,566.78/76,812.83
  6. Step 6: Final answer
    x = 59,102.13

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1.5x scale

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.