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Finding the Fourth Proportional to 117,749.88, 162,412.47 and 77,450.76

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Solution

The fourth proportional to 117,749.88, 162,412.47 and 77,450.76 is: 106,827.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,749.88 : 162,412.47 = 77,450.76 : x
  2. Step 2: Convert to fraction form
    117,749.88/162,412.47 = 77,450.76/x
  3. Step 3: Cross multiply
    117,749.88x = 162,412.47 × 77,450.76
  4. Step 4: Simplify right side
    117,749.88x = 12,578,969,234.98
  5. Step 5: Solve for x
    x = 12,578,969,234.98/117,749.88
  6. Step 6: Final answer
    x = 106,827.87

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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.