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Finding the Fourth Proportional to 77,679.86, 107,182.14 and 45,408.25

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Solution

The fourth proportional to 77,679.86, 107,182.14 and 45,408.25 is: 62,653.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,679.86 : 107,182.14 = 45,408.25 : x
  2. Step 2: Convert to fraction form
    77,679.86/107,182.14 = 45,408.25/x
  3. Step 3: Cross multiply
    77,679.86x = 107,182.14 × 45,408.25
  4. Step 4: Simplify right side
    77,679.86x = 4,866,952,769.45
  5. Step 5: Solve for x
    x = 4,866,952,769.45/77,679.86
  6. Step 6: Final answer
    x = 62,653.98

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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.