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Finding the Fourth Proportional to 59,873.32, 89,809.26 and 20,458

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Solution

The fourth proportional to 59,873.32, 89,809.26 and 20,458 is: 30,686.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,873.32 : 89,809.26 = 20,458 : x
  2. Step 2: Convert to fraction form
    59,873.32/89,809.26 = 20,458/x
  3. Step 3: Cross multiply
    59,873.32x = 89,809.26 × 20,458
  4. Step 4: Simplify right side
    59,873.32x = 1,837,317,841.08
  5. Step 5: Solve for x
    x = 1,837,317,841.08/59,873.32
  6. Step 6: Final answer
    x = 30,686.75

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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.