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Finding the Fourth Proportional to 138,450.84, 191,064.96 and 77,200.80

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Solution

The fourth proportional to 138,450.84, 191,064.96 and 77,200.80 is: 106,538.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,450.84 : 191,064.96 = 77,200.80 : x
  2. Step 2: Convert to fraction form
    138,450.84/191,064.96 = 77,200.80/x
  3. Step 3: Cross multiply
    138,450.84x = 191,064.96 × 77,200.80
  4. Step 4: Simplify right side
    138,450.84x = 14,750,367,763.97
  5. Step 5: Solve for x
    x = 14,750,367,763.97/138,450.84
  6. Step 6: Final answer
    x = 106,538.67

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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.