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Finding the Fourth Proportional to 76,649.48, 105,768.95 and 56,517.23

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Solution

The fourth proportional to 76,649.48, 105,768.95 and 56,517.23 is: 77,988.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,649.48 : 105,768.95 = 56,517.23 : x
  2. Step 2: Convert to fraction form
    76,649.48/105,768.95 = 56,517.23/x
  3. Step 3: Cross multiply
    76,649.48x = 105,768.95 × 56,517.23
  4. Step 4: Simplify right side
    76,649.48x = 5,977,768,074.01
  5. Step 5: Solve for x
    x = 5,977,768,074.01/76,649.48
  6. Step 6: Final answer
    x = 77,988.37

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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.