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Finding the Fourth Proportional to 76,911.95, 106,138.29 and 42,920.07

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Solution

The fourth proportional to 76,911.95, 106,138.29 and 42,920.07 is: 59,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,911.95 : 106,138.29 = 42,920.07 : x
  2. Step 2: Convert to fraction form
    76,911.95/106,138.29 = 42,920.07/x
  3. Step 3: Cross multiply
    76,911.95x = 106,138.29 × 42,920.07
  4. Step 4: Simplify right side
    76,911.95x = 4,555,462,836.48
  5. Step 5: Solve for x
    x = 4,555,462,836.48/76,911.95
  6. Step 6: Final answer
    x = 59,229.58

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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.