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Finding the Fourth Proportional to 81,206.59, 121,830.90 and 25,045.46

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Solution

The fourth proportional to 81,206.59, 121,830.90 and 25,045.46 is: 37,574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,206.59 : 121,830.90 = 25,045.46 : x
  2. Step 2: Convert to fraction form
    81,206.59/121,830.90 = 25,045.46/x
  3. Step 3: Cross multiply
    81,206.59x = 121,830.90 × 25,045.46
  4. Step 4: Simplify right side
    81,206.59x = 3,051,310,932.71
  5. Step 5: Solve for x
    x = 3,051,310,932.71/81,206.59
  6. Step 6: Final answer
    x = 37,574.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.