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Finding the Fourth Proportional to 89,873.21, 134,809.82 and 30,709.40

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Solution

The fourth proportional to 89,873.21, 134,809.82 and 30,709.40 is: 46,064.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,873.21 : 134,809.82 = 30,709.40 : x
  2. Step 2: Convert to fraction form
    89,873.21/134,809.82 = 30,709.40/x
  3. Step 3: Cross multiply
    89,873.21x = 134,809.82 × 30,709.40
  4. Step 4: Simplify right side
    89,873.21x = 4,139,927,858.71
  5. Step 5: Solve for x
    x = 4,139,927,858.71/89,873.21
  6. Step 6: Final answer
    x = 46,064.10

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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.