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Finding the Fourth Proportional to 76,797.80, 105,989.56 and 42,809.40

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Solution

The fourth proportional to 76,797.80, 105,989.56 and 42,809.40 is: 59,081.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,797.80 : 105,989.56 = 42,809.40 : x
  2. Step 2: Convert to fraction form
    76,797.80/105,989.56 = 42,809.40/x
  3. Step 3: Cross multiply
    76,797.80x = 105,989.56 × 42,809.40
  4. Step 4: Simplify right side
    76,797.80x = 4,537,349,469.86
  5. Step 5: Solve for x
    x = 4,537,349,469.86/76,797.80
  6. Step 6: Final answer
    x = 59,081.76

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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.