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Finding the Fourth Proportional to 76,674.76, 105,803.75 and 56,542.48

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Solution

The fourth proportional to 76,674.76, 105,803.75 and 56,542.48 is: 78,023.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,674.76 : 105,803.75 = 56,542.48 : x
  2. Step 2: Convert to fraction form
    76,674.76/105,803.75 = 56,542.48/x
  3. Step 3: Cross multiply
    76,674.76x = 105,803.75 × 56,542.48
  4. Step 4: Simplify right side
    76,674.76x = 5,982,406,418.30
  5. Step 5: Solve for x
    x = 5,982,406,418.30/76,674.76
  6. Step 6: Final answer
    x = 78,023.15

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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.