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Finding the Fourth Proportional to 76,910.55, 105,979.10 and 56,735.48

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Solution

The fourth proportional to 76,910.55, 105,979.10 and 56,735.48 is: 78,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,910.55 : 105,979.10 = 56,735.48 : x
  2. Step 2: Convert to fraction form
    76,910.55/105,979.10 = 56,735.48/x
  3. Step 3: Cross multiply
    76,910.55x = 105,979.10 × 56,735.48
  4. Step 4: Simplify right side
    76,910.55x = 6,012,774,294.90
  5. Step 5: Solve for x
    x = 6,012,774,294.90/76,910.55
  6. Step 6: Final answer
    x = 78,178.80

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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.